Question

PQRS is a parallelogram. ∠P=(7x-15)°and ∠R=(3x+65)°. Measure of ∠S= ​

Answer 1

Step-by-step explanation:

Let ∠Q = 2x, ∠R = 3x and ∠S = 7x

Now, ∠P + ∠Q + ∠R + ∠S = 360°

⇒ 60° + 2x + 3x + 7x = 360°

⇒ 12x = 300°

⇒ x = 300°/ 12 = 25°

∠S = 7x = 7 × 25° = 175°

this is the correct answer

Answer 2

Answer:

∠S = 55°

Step-by-step explanation:

In parallelogram PQRS,

∠P = ∠R . . . -(since opposite angles of a parallelogram are equal)

Hence-

7x - 15° = 3x + 65°

7x - 3x = 65° + 15°

4x = 80°

x = 20°

∠R = 3•(20)° + 65° = 125°

∠R + ∠S = 180° . . . -(Adjacent angles of a parallelogram are supplementary)

∠S = 180° - ∠R

∠S = 180° - 125°

∠S = 55°

Therefore ∠S will equal 55°

Hope it helps mate !