Given: m∠MON = 135°
If ∠MOL and ∠MON are supplementary angles, then what is the measure of ∠NOP?
If ∠MOL and ∠MON are supplementary angles, it means that the sum of their measures is 180°.
Since m∠MON = 135°, we can find the measure of ∠MOL by subtracting it from 180°:
∠MOL = 180° - 135° = 45°
Thus, ∠MOL measures 45°.
Since ∠NOP is a vertical angle to ∠MOL, they have the same measure.
So, the measure of ∠NOP is also 45°.