In the diagram, what is the measure of WRS? O 5° O 7.5° O 25° O 37.5°

Mathematics

2 answers:

BartSMP [9]3 years ago

8 0

Answer: 25°

Step-by-step explanation:

Easy peasy go bedsy

Valentin [98]3 years ago

4 0

Answer : The measure of ∠WRS is 25°.

Step-by-step explanation :

As we know that vertically opposite angles are always equal.

In the given figure,

∠VRT = ∠WRS = (5x)° (Vertically opposite angles)

And we know that the sum of all angle in a straight line is equal to 180°.

So,

∠TSR + ∠WRS = 180°

Given: ∠TSR = (25x + 30)°

∠TSR + ∠WRS = 180°

(25x + 30)° + (5x)° = 180°

30x + 30° = 180°

30x = 180° - 30°

30x = 150°

x = 5°

∠WRS = (5x)° = (5 × 5)° = 25°

Therefore, the measure of ∠WRS is 25°.

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