Question

ZIn the diagram, what is the measure of WRS?Z(5x)"R(25x + 30)*w.s

Answer 1

∠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:

`\begin{gathered} \angle VRT+\angle TRS=180 \\ 5x+25x+30=180 \\ 30x+30=180 \\ 30x=180-30 \\ 30x=150 \\ x=(150)/(30) \\ x=5 \end{gathered}`

∠WRS = 5x° = 5(5) = 25°

Answer

∠WRS = 25°