Question

8 angles are formed by a transversal that intersects two parallel lines. Angles Alpha and Epsilon are Consecutive Exterior Angles. Angle Epsilon has a measure of 67 degrees. What is the measure of angle Alpha?

113 degrees
123 degrees
23 degrees
33 degrees
67 degrees

Answer 1

113 degrees

Explanation:

Since, Angles Alpha and Epsilon are Consecutive Exterior Angles.

`\therefore m\angle \alpha + m\angle \epsilon = 180 \degree \\ \\ \therefore m\angle \alpha + 67 \degree= 180 \degree \\ \\ \therefore m\angle \alpha = 180 \degree -67 \degree \\ \\ \therefore m\angle \alpha = 113 \degree`