Question

Refer to the porch stairs shown. Line m is parallel to line n, and m∠7 is 35º. Find the measure of ∠1. Justify your answer.

Answer 1

The measure of angle ∠1 is 35º.

Step-by-step explanation:

To find the measure of angle ∠1, we can use the fact that line m is parallel to line n. When a transversal intersects two parallel lines, alternate interior angles are congruent. Therefore, ∠7 and ∠1 are congruent angles. Since ∠7 is given as 35º, ∠1 must also be 35º.