Question

Find m∠1 and m∠2. Tell which theorem can be used.

Answer 1

m∠1 = 140 by the Alternate Interior Angles Theorem

m∠2 = 40 by the Consecutive Interior Angles Theorem

Explanation:

Answer 2

m∠ 1 = 140° by the Vertical Angles Congruence Theorem.

m∠ 2 = 40° by the Corresponding Angles Theorem.

The image shows two parallel lines intersected by a transversal. We are asked to find the measure of two angles,∠1 and ∠2, and to identify the theorems used in the process.

Find ∠ 1

We see that ∠1 and the angle marked 140° are vertical angles. Vertical angles are congruent, so ∠1 = 140°.

Find ∠ 2

∠2 and the angle marked 40° are corresponding angles. Corresponding angles are congruent, so ∠2 = 40°.