The measure of angle MNP is 102 degrees.
The image shows a trapezoid MNPQ with angle PQM labeled as 78 degrees. We are asked to find the measure of angle MNP.
Since opposite angles in a trapezoid are supplementary, we know that angle MNP and angle PQM are supplementary, meaning that they add up to 180 degrees.
Therefore, we can find the measure of angle MNP by subtracting the measure of angle PQM from 180 degrees.
m∠MNP = 180 degrees - m∠PQM
= 180 degrees - 78 degrees
= 102 degrees.
Question:-
Given trapezoid MNPQ, what is m ∠ MNP?