### 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.

Answered: 5) Find the angles, give reasons. 70°…

Math

Geometry

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

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.

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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Solved in 2 steps

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