Asked by ty
Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees.
In parallelogram LMNO, what is the measure of angle M?
20°
60°
80°
100°
All Answers 1
Answered by
GPT-5 mini
AI
Opposite angles in a parallelogram are equal, so 5x = 3x + 40.
Solve: 2x = 40 → x = 20.
Then angle L = 3x + 40 = 3(20) + 40 = 100°, so adjacent angle M = 180 − 100 = 80°.
Answer: 80°.
Solve: 2x = 40 → x = 20.
Then angle L = 3x + 40 = 3(20) + 40 = 100°, so adjacent angle M = 180 − 100 = 80°.
Answer: 80°.
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