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In the diagram, what is the measure of WRS?V3.)(5x)" B(25x + 30)S

In the diagram, what is the measure of WRS?V3.)(5x)" B(25x + 30)S-example-1

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Angles TRS and TRV are supplementary, that is,

m∠TRS + m∠TRV = 180°

(25x + 30) + (5x) = 180

(25x + 5x) + 30 = 180

30x = 180 - 30

x = 150/30

x = 5

Angles TRV and WRS are vertical angles, then they are congruent, that is,

m∠TRV = m∠WRS

5x = m∠WRS

5*5 = m∠WRS

25° = m∠WRS

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