Question

In parallelogram LNMO what is the measure of angle M?

Answer 1

Given

parallelogram LNMO

Find

Measure of angle M

Explanation

as we know , in parallelogram , opposite angles are equal and consecutive angles are supplementary

so ,

angle L = angle N

therefore ,

3x + 40 = 5x

2x = 40

x = 20

so ,

angle N = 5x = 100 degree

we know , the consecutive angles are supplementary.

hence , angle N + angle M = 180 degree

so , angle M = 180 - 100 = 80 degree

Final Answer

Hence , the measure of angle M is 80 degree.