Question

find the value of each variable in the parallelogram.
2m° n°
72°
m =

n =

Explanation:

Step1: Relate $n$ to 72°

In parallelograms, consecutive angles are supplementary:
$$n + 72^\circ = 180^\circ$$
Solve for $n$:
$$n = 180^\circ - 72^\circ = 108^\circ$$

Step2: Relate $2m$ to 72°

In parallelograms, opposite angles are equal:
$$2m = 72^\circ$$
Solve for $m$:
$$m = \frac{72^\circ}{2} = 36^\circ$$

Answer:

$m=36$, $n=108$