Respuesta :

Answer:

5 x + 25 x + 30° = 180°30 x + 30° = 180°30 x = 180° – 30°30 x = 150°x = 150° : 30x = 5°m∠WRS = 5 · 5° = 25°Answer: C ) 25°

Step-by-step explanation:

Answer is C

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The measure of ∠WRS is 25°

From the diagram attached :

∠TRS and ∠VRT are supplementary :

∠VRT and ∠WRS are vertically opposite angles, hence, they are the same.

∠VRT = ∠WRS

Recall :

Supplementary angles sum up to 180°

Hence,

∠TRS + ∠VRT = 180°

(25x + 30) + 5x = 180

We solve for x :

25x + 30 + 5x = 180

30x + 30 = 180

30x = 180 - 30

30x = 150

x = 150 / 30

x = 5

Therefore, ∠VRT = 5x = 5(5) = 25°

Since, ∠VRT and ∠WRS are vertically opposite

The ∠WRS is 25°

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