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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

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
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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

In ΔPQR, PRis extended through point R to point S, m∠QRS=(7x+8)∘ m∠RPQ= (x+12) and-example-1
User Kittonian
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\begin{gathered} 180-7x-8+x+12+3x+20=180 \\ -3x+24=180-180 \\ x=(-24)/(-3) \\ x=8 \end{gathered}
\begin{gathered} \text{mRPQ}=x+12=8+12 \\ \text{mRPQ}=20 \end{gathered}

Answer: mRPQ = 20°

In ΔPQR, PRis extended through point R to point S, m∠QRS=(7x+8)∘ m∠RPQ= (x+12) and-example-1
User JakobFerdinand
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