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 their measures add up to 180°.
Let's say the measure of ∠MOL is x°.
Since ∠MOL and ∠MON are supplementary, we have:
x° + 135° = 180°
To find the value of x, we subtract 135° from both sides:
x° = 180° - 135°
x° = 45°
So, the measure of ∠MOL is 45°.
Since ∠NOP is an adjacent angle to ∠MOL and the measure of ∠MOL is 45°, the measure of ∠NOP is also 45°.