Question

A staircase handrail is made from congruent parallelograms. In PQRS, PQ = 17.5, ST = 18, andmZQRS = 115º. Find PQR

Answer 1

Given QRS = 115°

Since, PQR + QRS = 180°

Angles on the same side of the transversal are supplementary.

Now,

PQR + 115° = 180°

PQR = 180° - 115°

PQR = 65°

Hence, the measure of PQR = 65°