Answered: In any triangle the sum of any two…

In any triangle the sum of any two internal angles is less than two right angles, carefully explain how and why it works.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.3: Informal Geometry And Measurement

Problem 25E: The sides of the pair of angles are parallel. Are 1 and 2 congruent?

See similar textbooks

Related questions

Q: A garden has a triangular shape with two of the angles measuring 23° and 97°, respectively. If the…

A: here one angle = 23 second angle = 97 opposite side of 23 = 41 meter find how many meter fancing…

Q: A student claims that to make the measure of an angle greater, you just extend the rays. How would…

A: The angle is made at the intersection of two lines. So if we extend the rays then also the angle…

Q: If the sum of the interior angle of a regular polygon is 2340° how many sides does the polygon have

Q: If the sum of the measures of two angles is 180, then the angles are ___?

A: Given: sum of the measures of two angles is 180°Let x° and y° be any…

Q: What is the sum of the measures of its interior angles?

A: The objective is to find the sum of the measures of interior angles of the above figure.

Q: The larger of two supplementary angles exceeds the smaller by 180. Find them.

A: For two supplementary angles ‘x’ and ‘y’ the given conditions can be written from the information…

Q: Give the theorem that supports the similarity of the given pairs of triangles. Then find the length…

A: Give the theorem that supports the similarity of the given pairs of triangles. Then find the length…

Q: The angle at one corner of a triangular plot of ground is 73°40' , and the sides that meet at this…

A: We have given a=175 feet, b=150 feet and C=73°40'. Use the cosine rule to find the third side of the…

Q: A triangle with sides 15 , 12 and 15 is an isosceles triangle. sometimes always never cannot…

Q: In Hyperbolic Geometry, the sum of internal angles of a triangle is always greater than 180°. True…

A: False

Q: what is the sum of the 15 angles at the points of the star?

A: Given:

Q: What is the sum of 3 of the interior angles of a regular hexagon?

Q: Describe the possible lengths of the third side of the triangle given the lengths of the other two…

A: given lengths of two sides are 25mts , 25mts find the other side

Q: A rectangular frame is being built for an artist's canvas. The finished canvas should have a length…

Q: What is the sum of the measures of the exterior angles of a decagon?

A: SOLUTION-

Q: Illustrate that the sum of the measures of the angles of a hyperbolic triangle is less than 180°.

Q: One of the diagonals of a rhombus measures 12 inches. If the area of the rhombus is 132 m2,…

Q: what is the sum of the interior angles of a decagon

A: Solution: The objective is to find the sum of the interior angles of a decagon

Q: The side opposite to the Right angle in a right angled triangle is the hypotenuse True or False?

A: True

Q: Two angles with a sum of 900 are called __________ angles, and when the sum is 1800they are called…

A: Two angles with a sum of 900 are called complementary angles.

Q: Triangle ABC is transformed to form triangle XYZ. If AC = BC and the perimeter of triangle ABC is 37…

Q: Prove that the sum of the angles of an elliptical triangle is more than two right angles.

A: Solution:-

Q: Prove that the sum of the angles of an elliptic triangle is more than 180 degrees and explain.

A: We have to prove that angle sum elliptic triangle is greater than 180°. lets prove this , we will…

Q: Illustrate that the sum of the angles of a hyperbolic triangle is less than 180 degrees and explain.

A: This is a problem related to hyperbolic geometry. Based on the general concept we will explain the…

Q: Angelo is fencing off an area against the side of his warehouse. In the diagram below, you can see…

Q: how to find a side length of a Right Triangle when given one side length and the angle measures.

Q: In an isosceles trapezoid, if one diagonal measures 6 inches, the other diagonal must also measure 6…

A: Note:- In any isosceles trapezoid, the diagonals are equal length.

Q: sum of the angles of a hyperbolic triangle is less than 180 degrees

A: Solution

Q: In a right triangle, the bisector of the right angle divides the hypotenuse into segments that…

Q: True or False: The sum of the exterior angles of a convex decagon is 1440 degrees

A: True or False: The sum of the exterior angles of a convex decagon is 1440 degrees

Q: Prove that the sum of the angles of a hyperbolic triangle is less than 180 degrees and explain.

Q: Describe three conditions under which two triangles would becongruent.

A: we need two triangles to describe about congruent

Q: Illustrate that the sum of the angles of a hyperbolic triangle is less than 180 degrees.

A: We have to illustrate about why sum of the angels of a hyperbolic triangle is less than 180 degree.

Q: In right triangle XYZ, the measure of angle Y is 30° and the measure of angle Z is 60°. Triangle…

Q: A piece of land is in the shape of triangle in which two sides are 12 m and 14 m. If the angle…

Q: In any triangle, the sum of the three interior angles is always _______.

Q: Given that abc is a right triangle and line cd is perpendicular to line ab which proportions are…

A: Given a right triangle ABC right angled at C and line CD is perpendicular to line AB we have to…

Q: in a certain right triangle ABC, angle B is the right angle, AC can be expressed as (2x+y) while BC…

Q: How could you convince someone that the sum of the angles of any quadrilateral is 360 degrees?

Q: I want to know about the angles of a 15 gon. Talk me through the means by which I can determine the…

A: Given polygon is of 15 sides. Sum of the interior angles=(15-2)1800 As it has 15 interior angles in…

Q: What is the sum of 2 of the interior angles of a regular pentagon?

A: To find the sum of 2 of the interior angles of a regular pentagon

Q: can a triangle with that length of 6 feet 2 feet and 8 feet make a unique triangle , more than one…

A: If the sum of the measures of two shorter segments of a triangle is greater than the measure of the…

Q: What is the sum of 7 of the interior angles of a regular octagon?

A: To find sum of 7 interior angles of a regular octagon.

Q: Mang Tomas will enclose two sides of his triangular vegetable garden with two pieces of chicken wire…

Q: A right triangle has legs of length X, 2X +2, and a hypotenuse of length 2X +3. What are the Lengths…

A: Topic: triangle

Q: What is the sum of 6 of the interior angles of a regular decagon?

Q: The sum of the measure of the interior angles of a convex polygon with n sides is 180(n-2) degrees.…

A: To determine:- Measure of one interior angle of a regular Pentagon.…

Q: Two angles are complementary, one angle is twice as big as the other. What are the two angles?

A: The objective is to find the two angles.

Q: A right triangle has a hypotenuse of length 8 inches. If one angle is 34°, find the length of each…

A: sin θ=oppositehypotenusecos θ=adjacenthypotenuse Here, θ=34°, hypotenuse=8 inches

Question

In any triangle the sum of any two internal angles is less than two right angles, carefully explain how and why it works.

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.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The sum of the measures of all three angles of the triangle in Review Exercise 30 is 180. If the sum of the measures of angles 1 and 2 is more than 130. what can you conclude about the measure of angle 3? 30.
Consider any triangle and one exterior angle at each vertex. What is the sum of the measures of the measures of the three exterior angle of the triangles?
When two lines cross intersect, they have exactly one point in common. In the drawing, what is the point of intersection? How do the measure of 1 and 2 compare?
A trapezoid is a four-sided figure that contains one pair of parallel sides. Which sides of the trapezoid MNPQ appear to be parallel?
In a softball game, a batter hits a ball to dead center field, a distance of 240 feet from home plate. The center fielder then throws the ball to third base and gets a runner out. The distance between the bases is 60 feet. How far is the center fielder from third base?
The state of Nevada approximates the shape of a trapezoid with these dimensions for boundaries: 340 miles on the north, 515 miles on the east, 435 miles on the south and 225 miles on the west. If A and B are points located midway across the north and south boundaries, what is the approximate distance from A to B?
The sides of the pair of angles are parallel. Are 1 and 2 congruent?
Two sets of rails railroad tracks are equally spaced intersect but not at right angles. Being as specific as possible, indicate what type of quadrilateral WXYZ is formed.
In quadrilateral ABCD, the midpoints of opposite sides are joined to form two intersecting segments. Try drawing other quadrilaterals and joining opposite midpoints. What can you conclude about these segments in each case?