Answered: The measure of an angle is eighty-nine…

Math

Geometry

The measure of an angle is eighty-nine times the measure of its supplementary angle. What is the measure of each angle?

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter5: Systems Of Linear Equations

Section5.2: Solve Systems Of Equations By Substitution

Problem 5.45TI: The measure of one of the small angles of a right triangle is 2 more than 3 times the measure of the...

See similar textbooks

Related questions

Q: The ratio of the measures of the sides of a triangle is 2:5:6, and its perimeter is 39 feet. Find…

Q: One of two Supplementary angles is 8 times the measure of the other angle. Find both angles.

Q: The measure of a complement of an angle is 32 degrees more than three times the angle. Find the…

Q: In a right triangle, the measure of one acute angle is 4 times the difference of the measure of the…

A: Let measure of one acute angle be x degree. The other acute triangle is equal to 4 times difference…

Q: In a triangle, the measure of angle z is 10 degrees larger than the measure of angle y. Five times…

Q: The measure of the vertex angle of an isosceles triangle is 12 more than 5 times the measure of a…

A: Topic = Triangles

Q: Miss Norton is cutting a rectangle piece of fabric at a diagonal. The length of the fabric is 3 feet…

A: Geometry question

Q: 90°

A: A straight line has an angel of 180ο.

Q: In triangle ABC, the measure of angle B is 2° more than three times the measure of angle A. The…

Q: The measure of one angle is 3° more than the measure of its supplement. Find the measure of both…

A: Let x be the angle and let the supplement of x be y. Here, y (Supplement of x) is given by 180°-x.

Q: The diagonal of a rectangle is 350 millimeters, while the longer side is 270 millimeters. Find the…

A: The diagonal of a rectangle is 350 millimeters, while the longer side is 270 millimeters.

Q: From her house, Maddie could drive due north to get to her parents' house or she could drive due…

Q: Alex, Beverly, and Cal live on the same straight road. Alex lives 10 miles from Beverly, and Cal…

A: We sketch the situation roughly.

Q: The measure of a supplement of an angle is 8 more than three times the measure of a complement. Find…

A: Given The measure of a supplement of an angle is 8 more than three times the measure of a…

Q: Two angles are supplementary if the sum of their angles is 180 degrees. One of two supplementary…

A: To calculate the value of two supplement angle. If the sum of two supplementary angle is 180o. In…

Q: The supplement of an angle is twenty degrees less than four times the angle. Find the measure of the…

Q: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two…

A: Proved that. The measure of an exterior angle of a triangle is equal to the sum of the measures of…

Q: of 2 angles are supplementary and one angle is 30 more than twice the other angle , find the measure…

A: one angle is x the second angle is 30 more than twice the other angle so other angle is y=2x+30 the…

Q: The three angles in a triangle always add up to 180°. If one angle in a triangle is 72° and the…

Q: The sum of two angles formed by the intersection of two lines is 50°. Find the measures of the…

A: Consider the given question,Given the sum of two angles formed by the intersection of two lines is…

Q: A police car is located 30 feet to the side of a straight road.

Q: The length of a picture frame is 7 inches more than width. For what values of x is the perimeter of…

A: The perimeter of a rectangle is given by P=2(l+b) where l is the length of the rectangle and b is…

Q: 155°

Q: The base of a triangle is 6 inches more than its height. If the area of the triangle is 36 square…

Q: The measure of a supplement of an angle is 6 degrees more than twice the measure of the angle. Find…

A: Given measure of a supplement of an angle is 6° more than twice the measure of the angle. Sum of…

Q: one of two supplementary angles is four times the other. Find the larger angle.

Q: The measure of the complement of the angle is 12 more than twice the measure of the angle. Find the…

Q: An angle measures 56° less than the measure of its complementary angle. What is the measure of each…

A: Complementary angles are those whose sum is 90°. Let first angle be 'x' Second angle is 56∘ less…

Q: The measure of the supplement of an angle is 30° less than 5 times the measure of the complement.…

Q: An angle is 30° more than twice the measure of its complement. Determine the measure of the angle…

A: Let, The first angle is x and the second angle is y The angle is 30° more than twice the measure of…

Q: The measure of the largest angle of a triangle is 80° more than the measure of the smallest angle…

Q: Among the two supplementary angles, the measure of the larger angle is 36° more than the measure of…

Q: An angle measures 62° less than the measure of its complementary angle. What is the measure of each…

Q: The measure of one interior angles of a parallelogram is 4 times the measure of another angles. What…

A: Let the smaller interior angle be x So, larger angle =4x

Q: the supplement of an angle is 10 times the complement. Find the measure of the angle.

A: Given that the supplement of an angle is 10 times the complement. Let x be the angle needed to be…

Q: A pilot left an airport and traveled 130 miles eastward when she spotted a UFO directly in her path.…

A: Hypotenuse square is equal to sum of squares of other two sides in a right triangle. Let us make a…

Q: Find two supplementary angles such that the measure of the first angle is 30° less than five times…

A: Two angles are known as supplementary if the addition of their measures is 180 degrees.

Q: The supplement of angle K is 3 times the measure of angle K. Find the measure of angle K.

A: Given: The supplement of angle K is 3 times the measure of angle k

Q: The measure of an angle is twenty-nine times the measure of its complementary angle. What is the…

A: On solving this we will get

Q: The height of two buildings are 30 m and 25 m respectively. If the distance between the two…

A: I am attaching image so that you understand each and every step.

Q: The perimeter of a square is 36 inches. Find the length of a diagonal. Round your answer to the…

A: This question can be solved using the concept of properties of square.

Q: The sum of the measures of two angles of a triangle equals the measure of the third (largest) angle.…

A: Given: The sum of measures of two angles is equal to the measure of third angle. To determine: What…

Q: Given two supplementary angles, one angle is 1 more than 3 times as much as the other angle.…

A: The objective is to determine the size of each of the two angles.

Q: The difference between the degree measure of the supplement of an angle and twice its complement is…

A: Let the degree measure of the angle be x. Sum of angle and its complement angle is 90°. Complement…

Q: the length of a television screen is 15 inches , the width of the television screen is 20 inches.…

A: Given the length of a television screen is 15 inches , the width of the television screen is 20…

Q: What is the value of x? What is the value of y?

A: Given, A right angled triangle with opposite and adjacent sides equal

Q: Two rectangles are similar. One has a perimeter of 15 inches, the other a perimeter of 45. If x is…

A: We will solve the following

Q: Two sides of a triangle are 7 inches and 9 inches long. What is a reasonable range of lengths for…

Q: The area of a right triangle is 50. One of its angles is 45°. Find the lengths of the sides and…

Q: Find two complementary angles if the measure of the large angle is 10 degrees more than the measure…

Question

The measure of an angle is eighty-nine times the measure of its supplementary angle. What is the measure of each angle?

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Measurement$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

The length of a rectangle is 120 yards and the width is 50 yards. What is the perimeter?
The length of a rectangle is 62 feet and the width is 48 feet. What is the perimeter?
The measure of one of the small angles of a right triangle is 18 less than twice the measure of the other small angle. Find the measure of both angles.
The measure of one of the small angles of a right triangle is 2 more than 3 times the measure of the other small angle. Find the measure of both angles.
The measure of one angle of a triangle is twice the measure of the smallest angle. The measure of the third angle is 14 more than the measure of the smallest angle. Find the measures of all three angles.
An airplane flies from Naples, Italy, in a straight line to Rome, Italy, which is 120 kilometers north and 150 kilometers west of Naples. How far does the plane fly?
The width of a rectangle is 21 meters. The area is 609 square meters. What is the length?
Rectangle ABCD in the illustration is twice as long as it is wide, and its sides are parallel to the coordinate axes. If the perimeter is 42, find the coordinates of point C.
The measures of two angles of a triangle are 31 and 128 degrees. Find the measure of the third angle.
A city planner wants to build a bridge across a lake in a park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the leg is 160 feet. Find the length of the bridge.
Find the base and height of a triangle whose base is four inches more than six times height and hasan area of 456 square inches.
The numerical difference between the area of a square and the perimeter of that square is 32. Find the length of a side of the square.