Question

In a parallelogram PQRS, ZS = 75°. Determine the measures of P and Q.​

Answer 1

Answer:

∠P =105° , ∠Q =75°

Step-by-step explanation:

∠ Q = ∠ S = 75°  (Opposite angles in a parallelogram)

∠P + ∠Q = 180 (Consecutive angles in a parallelogram)

∠P + 75 = 180

∠P = 180-75

∠P = 105°

Answer 2

Answer:

ZS+ZP=180( adjacent angles in parallelogram sum up-to 180)

75+ZP=180(given in question)

ZP=180-75=>ZP=105

therefore ZP=105

and ZS=ZQ(opposite angles).

ZQ=75