Question

in a parallelogram PQRS q=60° what is the measure of angle r: angleq

Answer 1

Answer:

2:1

Step-by-step explanation:

Given:  ∠Q = 60°

To find : ∠R : ∠Q

In a parallelogram, opposite angles are equal

Therefore, ∠P = ∠R Similarly ∠Q = ∠S

∠P + ∠S = 180° Similarly ∠Q + ∠R = 180° (Supplementary angles)

Because these interior angles lie on same side of transversal

∠Q + ∠R = 180°

60° + ∠R = 180° (∠Q = 60° given in the question)

∠R = 120°

∠R : ∠Q = 120° : 60° = 2 : 1

Answer: 2:1