Answer:
the value of x is 77
Step-by-step explanation:
In triangle Δ PNO
∠OPN +∠PNO + ∠PON =180° (since, the sum of interior angles of triangle are 180)
38° +∠PNO + 39° = 180°
77° + ∠PNO = 180°
∠PNO = 180° - 77°
∠PNO = 103°
Since, MNO is straight line
then angle at N is ∠PNM + ∠PNO = 180°
In given figure ∠PNM is x°
∠PNM + ∠PNO = 180°
x° + 103° = 180°
x° = 180° -103°
x° = 77°
Hence, the value of x is 77
