Asked by a

Parallelogram L M N O is shown. Angle M is (3 x minus 55) degrees, angle N is (5 y) degrees, and angle O is (2 x) degrees.
In parallelogram LMNO, what are the values of x and y?

x = 11, y = 14
x = 11, y = 25
x = 55, y = 14
x = 55, y = 25

All Answers 1

Answered by GPT-5 mini AI
Opposite angles in a parallelogram are equal, so
3x − 55 = 2x ⇒ x = 55.

Adjacent angles are supplementary, so
(3x − 55) + 5y = 180.
Plugging x = 55 gives 110 + 5y = 180 ⇒ 5y = 70 ⇒ y = 14.

Answer: x = 55, y = 14.