Question

In the figure above,pqrs is a parallelogram.The measure of pqt is 45 and the measure of ptq is 75. What is the measure of qrs?

Answer 1

∠ QRS = 60°

Explanation:

• the opposite angles of a parallelogram are congruent.

the sum of the 3 angles in Δ PQT = 180° , that is

∠ QPT + 75° + 45° = 180°

∠ QPT + 120° = 180° ( subtract 120° from both sides )

∠ QPT = 60°

Then

∠ QRS = ∠ QPT = 60°