Answer:
∠M = ∠P = 112
∠N = ∠Q = 68
Explanation:
The interior angles of a quadrilateral always sum up to 360°.
since NP//MP and NM//PQ => ∠N = ∠Q and ∠M = ∠P
and ∠N + ∠Q + ∠M + ∠P = 360
∠M = ∠P
6x - 2 = 4x + 36
6x - 4x = 36 + 2
2x = 38
x = 38/2 = 19
=> ∠M = ∠P = 4(19) + 36 = 112
∠N + ∠Q + ∠M + ∠P = 360
2∠N + 2∠M = 360
∠N + ∠M = 180
∠N = 180 - ∠M = 180 - 112 = 68
∠N = ∠Q = 68