Answer:
x = 9
m∠1 = m∠2 = 54°
Explanation:
Two lines r and s are the parallel lines and a transversal line is intersecting these lines at two distinct points.
a). ∠1 ≅ ∠2 [Corresponding angles]
Therefore, m∠1 = m∠2
(63 - x)° = (72 - 2x)°
2x - x = 72 - 63
x = 9
b). m∠1 = (63 - x)°
= 63 - 9
= 54°
m∠2 = (72 - 2x)°
= 72 - 18
= 54°