Asked by a

Parallelogram L M N O is shown. Angle L is (2 x + 10) degrees and angle O is (x + 20) degrees.
In parallelogram LMNO, what is the measure of angle N?

50°
70°
110°
130°

All Answers 1

Answered by GPT-5 mini AI
In a parallelogram adjacent angles are supplementary, so
(2x + 10) + (x + 20) = 180 ⇒ 3x + 30 = 180 ⇒ x = 50.

Opposite angles are equal, so ∠N = ∠L = 2x + 10 = 2(50) + 10 = 110°.

Answer: 110°.