Which of the facts below are true for this triangle? Select all that apply. 2 1 3, A.O 21 + 22 = Z3 + Z4 Z1 + 22 + Z3 = 180° В. c.O Z1 + 22 = Z4 D.O 22 + Z3 = 24 Z1 + 22 + 23 + Z4 = 180° E.
Which of the facts below are true for this triangle? Select all that apply. 2 1 3, A.O 21 + 22 = Z3 + Z4 Z1 + 22 + Z3 = 180° В. c.O Z1 + 22 = Z4 D.O 22 + Z3 = 24 Z1 + 22 + 23 + Z4 = 180° E.
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.CT: Test
Problem 1CT
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Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
Transcribed Image Text:### Educational Content: Triangle Angle Relationships
#### Diagram Explanation
The diagram shows a triangle with angles labeled as ∠1, ∠2, and an exterior angle labeled as ∠3. There is also an angle ∠4 on the extension of the side opposite to ∠2.
#### Questions
You are asked to determine which of the following statements about the triangle's angles are true. Select all that apply:
A. ∠1 + ∠2 = ∠3 + ∠4
B. ∠1 + ∠2 + ∠3 = 180°
C. ∠1 + ∠2 = ∠4
D. ∠2 + ∠3 = ∠4
E. ∠1 + ∠2 + ∠3 + ∠4 = 180°
Consider properties of triangles and exterior angles when responding to the above statements.
Expert Solution
Step 1
In the given triangle are its interior angles and is its exterior angle.
The sum of the all interior angles of a triangle is always .
Therefore,
Thus, option B is correct.
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