Question

what is m∠1? m∠1 =

Explanation:

Step1: Find the adjacent - interior angle to 65°.

The adjacent - interior angle and 65° form a linear pair. So, it is 180° - 65° = 115°.

Step2: Use the angle - sum property of a triangle.

The sum of interior angles of a triangle is 180°. Let the third - angle be ∠1. We know two angles of the triangle are 35° and 115°. So, ∠1=180°-(35° + 115°).
180°-(35° + 115°)=180° - 150° = 30°.

Answer:

30