Answer: ∠1 = 48°, ∠2 = 42°
Step-by-step explanation:
- Because it's a rectangle, NP and MQ are parallel lines. ∠2 and (3x)° are alternate interior angles and are therefore equal.
- NM and PQ are also parallel lines. ∠1 is equal to (2x + 20)° because they're also alternate interior angles.
∠M = 90° = ∠1 + (3x)° = (2x + 20)° + (3x)°
2x + 20 + 3x = 90
2x + 3x = 90 - 20
5x = 70
x = 14
∠1 = 2x + 20 = 2(14) + 20 = 28 + 20 = 48°
∠2 = 3x = 3(14) = 42°
(I hope this is right :\)
