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°.
