JozeyU644409 JozeyU644409

29-10-2022
Mathematics

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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 mQRS7x8 mRPQ x12 and mPQR 3x20 Find mRPQ class=

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ElysaS190321 ElysaS190321

29-10-2022

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

Answer: mRPQ = 20°

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