Question

Can someone help me with this question and explain it?

Answer 1

m∠1 = 90°

m∠2 = 53°

m∠3 = 37°

Explanation:

The given diagram shows three straight lines intersecting at one point.

According to the Vertical Angles Theorem, when two straight lines intersect, the opposite vertical angles are congruent.

Angle 1 is vertically opposite to the angle marked 90°. Therefore:

• m∠1 = 90°

Angle 2 is vertically opposite to the angle marked 53°. Therefore:

• m∠2 = 53°

Angle 3 is vertically opposite to the angle marked 37°. Therefore:

• m∠3 = 37°