15 points if you get this question right for me

m∠R = 110° and m∠S = 110°

Solution:

Given data:

RSWY is a parallelogram.

∠R = (5x – 90)° and ∠S = (2x + 30)°

In RSWY, ∠R and ∠S are opposite angles.

Opposite angles of a parallelogram are congruent.

m∠R = m∠S

(5x – 90°) = (2x + 30)°

5x° – 90° = 2x° + 30°

Add 90° on both sides of the equation, we get

5x° = 2x° + 120°

Subtract 2x° on both sides of the equation, we get

3x° = 120°

Divide by 3 on both sides of the equation.

x° = 40°

Substitute x = 40 in m∠R and m∠S.

m∠R = (5x – 90)°

         = 5(40°) – 90°

m∠R = 110°

m∠S = (2x + 30)°

         = 2(40°) + 30°

m∠S = 110°

Hence m∠R = 110° and m∠S = 110°.

step-by-step explanation:

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step-by-step explanation:

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