The difference between the degree measure of the supplement of an angle and twice its complement is 40 degrees. find the degree measure of the angle

Q: The second angle of a triangle is three times as large as the first. The measure of the third angle…

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Q: The sides of a parallelogram are 11 feet and 17 feet. The longer diagonal is 22 feet. Find the…

A: We are going to solve

Q: Bell Canada must run a telephone line between two poles at opposite ends of a lake as shown below.…

A: As given shape form a right triangle with two of its sides are given so use Pythagoras Theorem for…

Q: The length of one of the legs of a right triangle is 26 cm and the length of the altitude drawn to…

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

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Q: The diagonals of a parallelogram measures 31 cm and 45 cm. If they intersect at an angle of 48…

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

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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: One angle of a triangle is equal to the sum of the other two. Show that the sum of two exterior…

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Q: The ratio of two numbers is 3 to 4 and the sum of their squares is 225. Find the numbers.

A: It is given that, the ratio of two numbers is 3 to 4.So let 3x be the first number and 4x be the…

Q: The diagonal of a rectangle measures 91 yards. What is the width of the rectangle, if the length is…

A: To find: The width of the rectangle. Given: The length of the diagonal of rectangle is 91 yards and…

Q: 90°

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

Q: 4. The measure of one of the small angles of a right triangle is 26 more than 3 times the measure of…

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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…

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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: The second angle of a triangle is five times as large as the first. The measure of the third angle…

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Q: The hypotenuse of a right triangle is 20m.if the difference between the length of the other side is…

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Q: Two similar triangles have perimeters of 60 and 36 inches. Find the area of the smaller triangle if…

A: We know that ratio of areas of similar triangles is equal to square of ratio of perimeters of the…

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

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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: 155°

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

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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.

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

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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.…

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Q: The diagonal of a rectangle is 346 millimeters, while the longer side is 276 millimeters. Find the…

A: 1) Given, BD(Diagonal) = 346 mm                AB(Longer Side) = 276 mm So,Shorter side = AD =…

Q: In a triangle, the measure of the first angle is twice the measure of the second angle. The measure…

A: We can solve this as follows:

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

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

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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: The reference angle of 300 degrees is-90 X degrees. The reference angle of -132 degrees is -48 X…

A: Reference angle: Reference angle is an acute angle whose measure is always less than 90°. Here you…

Q: The length of one leg of a right triangle is 12 meters. The length of the hypotenuse is 8 meters…

A: Given information:The length of one leg of a right triangle is 12 meters. The length of the…

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 sum of the angles of a triangle is 180°. If one angle of atriangle measures x° and a second…

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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: The sum of the measures of two complementary angles is 90° if one angle measures 3° more than twice…

A: We know that the sum of two omplementary angles is 90°.

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: For 2 angles to be a linear pair, they must share a vertex and a side, and the sum of their measures…

A: Let the first angle be x and second y. According to the question x + y = 180°  Here you want to know…

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

A: it is known that the sum of an angle and its supplementary angle is 180°. let angle B is the…

Q: Two angles are complimentary if the sum of their angles is 90 degrees. One of two complementary…

A: Given information:The given statement is "Two angles are complimentary if the sum of their angles is…

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

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

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