Question

In ΔPQR, PRis extended through point R to point S, m∠QRS=(7x+8)∘ m∠RPQ= (x+12) and ∘m∠PQR = (3x+20)∘ Find m∠RPQ

Answer 1

$\begin{gathered} 180-7x-8+x+12+3x+20=180 \\ -3x+24=180-180 \\ x=\frac{-24}{-3} \\ x=8 \end{gathered}$$\begin{gathered} \text{mRPQ}=x+12=8+12 \\ \text{mRPQ}=20 \end{gathered}$

Answer: mRPQ = 20°