Question

Find the value of each variable in the parallelogram

pls help:)​

Answer 1

Explanation:

In a parallelogram, the opposite sides are equal and parallel.

Also, consecutive angles in a parallelogram are supplementary. This means that the sum of the consecutive angles is 180 degrees.

Angle 2m and angle n are supplementary angles. Therefore,

2m + n = 180 - - - - - - - - - - - -1

Also, the opposite angle in a parallelogram are equal. This means that

2m = 70

m = 70/2

m = 35 degrees

Substituting m = 35 into equation 1, it becomes

2 × 35 + n = 180

70 + n = 180

n = 180 - 70

n = 110 degrees