Question

in the diagram, what is the measure of $angle wrs$?○ $5^circ$○ $7.5^circ$○ $25^circ$○ $37.5^circLXB0(25x + 30)^circ$

Explanation:

Step1: Identify supplementary angles

$\angle TRV$ and $\angle TRS$ are supplementary, so their sum is $180^\circ$.
$$5x + (25x + 30) = 180$$

Step2: Solve for $x$

Combine like terms and isolate $x$.
$$30x + 30 = 180$$
$$30x = 150$$
$$x = 5$$

Step3: Find vertical angle of $\angle TRV$

$\angle WRS$ is vertical to $\angle TRV$, so they are congruent. Substitute $x=5$ into $5x$.
$$\angle WRS = 5x = 5\times5 = 25$$

Answer:

25° (Option C: 25°)