The measure of angle ONP will be 80°.
What is an angle?
Angle is the point where two rays meet and an angle is measured in degrees.
We have,
A isoceles trapezoid LMNP and angle PLM is 50° .
i.e. MN || LP and,
Base angles of isosceles trapezoid are equal,
i.e. angle PLM = angle LPN
And,
The Sum of opposite angles is 180°,
i.e. angle PLM + angle PNM = 180°
So,
50° + ∠PNM = 180°
⇒ ∠PNM = 130°
We have,
Parallelogram MNOL,
So,
∠MLO = ∠MNO (opposite angles)
So,
∠ONP = ∠PNM - ∠MNO
∠ONP = 130° - 50°
∠ONP = 80°
So, the measure of angle ONP is 80°, which is found using isosceles trapezoid properties.
Learn more about the angle of isosceles trapezoid here:
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