Applying the definition of supplementary angles, x = 18; m<PNO = 70°.
What are Supplementary Angles?
If two angles lie on a straight line adjacent to each other, both angles are supplementary, thus, their sum is equal to 180 degrees.
Angle MNO and angle PNO are supplementary angles, therefore:
m<MNO + m<PNO = 180 degrees.
m<MNO = 110°
m<PNO = (3x + 16)°
Substitute
110 + 3x + 16 = 180
126 + 3x = 180
126 + 3x - 126 = 180 - 126
3x = 54
x = 18
m<PNO = 3x + 16 = 3(18) + 16
m<PNO = 70°
Therefore, applying the definition of supplementary angles, x = 18; m<PNO = 70°.
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