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5) Find the angles, give reasons. 70° 150° a)mZ1= angles b)mZ2 = pair c)mZ3= _ d)y =_ angles

5) Find the angles, give reasons. 70° 150° a)mZ1= angles b)mZ2 = pair c)mZ3= _ d)y =_ angles

Elementary Geometry For College Students, 7e
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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### Problem 5: Find the angles, give reasons. A diagram is shown with three angles labeled as 1, 2, and 3. Two angles are given outside the intersections: 70° and 150°. A line is marked with the variable \( y \). - **a)** \( m \angle 1 = \_\_\_; \_\_\_\_\_\_\_\_\_\_ \) angles - **b)** \( m \angle 2 = \_\_\_; \_\_\_\_\_\_\_\_\_\_ \) pair - **c)** \( m \angle 3 = \_\_\_; \_\_\_\_\_\_\_\_\_\_ \) - **d)** \( y = \_\_\_; \_\_\_\_\_\_\_\_\_\_ \) angles ### Additional Information **Diagram Description:** - The diagram includes a straight line with an angle of 70° to its left and 150° to its right. - Three angles labeled 1, 2, and 3 are formed by intersecting lines. - There is a variable \( y \) representing an additional segment.
Transcribed Image Text:### Problem 5: Find the angles, give reasons. A diagram is shown with three angles labeled as 1, 2, and 3. Two angles are given outside the intersections: 70° and 150°. A line is marked with the variable \( y \). - **a)** \( m \angle 1 = \_\_\_; \_\_\_\_\_\_\_\_\_\_ \) angles - **b)** \( m \angle 2 = \_\_\_; \_\_\_\_\_\_\_\_\_\_ \) pair - **c)** \( m \angle 3 = \_\_\_; \_\_\_\_\_\_\_\_\_\_ \) - **d)** \( y = \_\_\_; \_\_\_\_\_\_\_\_\_\_ \) angles ### Additional Information **Diagram Description:** - The diagram includes a straight line with an angle of 70° to its left and 150° to its right. - Three angles labeled 1, 2, and 3 are formed by intersecting lines. - There is a variable \( y \) representing an additional segment.
Expert Solution
Step 1: Concept

Vertical angles are congruent.

Angles in a linear pair are supplementary.

Sum of measurement of angles of a triangle is 180 degree.

 

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