Question

1. If m∠3 = 142°, find m∠7.
2. If m∠1 = 43°, find m∠2.
3. If m∠6 = 140°, find m∠7.​

Answer 1

1. 142°

2. 137°

3. 140°

Explanation:

First we have to assume that each of the statements 1, 2 and 3 are independent of each other, otherwise the results will be inconsistent

Since m and n are parallel to each other and t is a straight line

1. ∠3 =∠7 = 142°

2. ∠1 + ∠2 = 180° ; ∠2 = 180°-∠1 = 180° - 43° = 137°

3. ∠7 = ∠6 =140°