∠WRS = ∠VRT [ vertical angles are equal ]
Thus,
∠WRS = 5x°
We need to find x first.
∠VRT + ∠TRS = 180 [ This two angles form a straight line and a straight line (angle) is 180 degrees ]
Let's solve for x:
[tex]\begin{gathered} \angle VRT+\angle TRS=180 \\ 5x+25x+30=180 \\ 30x+30=180 \\ 30x=180-30 \\ 30x=150 \\ x=\frac{150}{30} \\ x=5 \end{gathered}[/tex]
∠WRS = 5x° = 5(5) = 25°
Answer
∠WRS = 25°
