Question

part 3 of 7
write a two - column proof for the following.
given: m∠2 = 30
(do not include the degree symbol in your answers.)
statements reasons

1. m∠2 = 30 1) given
2. m∠1 = 2m∠2 2) given
3. m∠1 = 2(30) 3) substitution
4. m∠1 = 60 4) simplification
5. m∠3 = 30 5)

Explanation:

Step1: Recall angle - relationship concept

In geometry, if two angles are vertical angles, they are congruent.

Step2: Identify angle relationship

Assume that $\angle2$ and $\angle3$ are vertical angles.

Answer:

Vertical angles are congruent