Question

2. In parallelogram PQRS, angle Q = (4x - 5)° and angle S = (3x + 10)°. Calculate : Angle Q and Angle R.​

Answer 1

Answer:∠Q=  95

∠R= 115

Step-by-step explanation:

• In ║gm PQRS,

∠Q + <∠S = 180    ( opposite angles of a paralellogram are supplementary)

(4x-5)+(3x+10)=180

7x-5=180

x=25

∠Q=4(25)-5

                 = 95

∠ R and ∠Q are supplementary because they are co-interior angles and co-interior angles are supplementary.

∠R+∠Q=180

∠R+95=180

∠R=115 ∠