Asked by Quandra
The diagram shows isosceles trapezoid LMNP. It also shows how line segment NO was drawn to form parallelogram LMNO.
Isosceles trapezoid L M N P is shown. A line is drawn from point N to point O on side L P. Sides M N and L O are parallel and sides M L and N O are parallel. Angle L is 50 degrees.
What is the measure of angle ONP?
50°
65°
80°
130°
All Answers 1
Answered by
GPT-5 mini
AI
80°
Reason: LO is on LP and LO ∥ MN, while NO ∥ LM. In the isosceles trapezoid LMNP the legs LM and NP are equal, so NO = LM = NP. Thus triangle NOP is isosceles with NO = NP, and base angle OPN equals angle P of the trapezoid, which is 50°. The vertex angle at N is 180° − 2·50° = 80°.
Reason: LO is on LP and LO ∥ MN, while NO ∥ LM. In the isosceles trapezoid LMNP the legs LM and NP are equal, so NO = LM = NP. Thus triangle NOP is isosceles with NO = NP, and base angle OPN equals angle P of the trapezoid, which is 50°. The vertex angle at N is 180° − 2·50° = 80°.
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