Question

FIND THE MEASUREMENT OF THE MISSING ANGLES ON THE GIVEN FIGURE BELOW AND STATE YOUR REASON

1. ∠ 2 = _____
A. 105 degrees
B.95 Degrees
C.75 degrees
D.125 degrees

Reason for number 1

2. ∠ 3 = _______
A.105 degrees
B.95 degrees
C.75 degrees
D.125 degrees

Reason for number 2

Answer 1

Explanation:

1) ∠1 + ∠2 = 180 {linear pair}

105 +∠2 = 180

∠2 = 180 - 105

∠2 = 75°

Reason: Linear pair

2) ∠3 = ∠1 {Vertically opposite angles are congruent}

∠3 = 105

Reason: Vertically opposite angles are congruent