Question

In the accompanying diagram of parallelogram ABCD, m

Answer 1

m<D = 120°

Explanation:

Adjacent angles are supplementary in a parallelogram.

Thus:

2x + 12 + 5x = 180°

Collect like terms

7x + 12 = 180

7x = 180 - 12

7x = 168

x = 168/7

x = 24

✔️m<D = 5x° (opposite angles in a parallelogram are equal)

Plug in the value of x

m<D = 5(24)

m<D = 120°