Question

If pqrs is a parallelogram, find the measure of 113
5.67
18
67

Answer 1

∠PSR = 113°

Explanation:

Two angles in a parallelogram that are next to each other are supplementary. That means that they add up to 180°, so 7x-13+4x-5 = 180. Solve for x.

7x-13+4x-5=180

11x-18=180

11x=198

x=18

Now plug x back into the angle that opposite from the one you are looking for (they are equal)

7(18)-13 = ∠PSR

126-13 = ∠PSR

113 = ∠PSR