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R=73° RPC+QRP=180°(co interior angles) (2x+3+x+2)+73=180 3x+5+73=180 3x=180-78 x=102/3=34° RPQ=PQA x+2=z 34+2=z z=36° y=180-36(Linear Pair) y=144°
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angle R = 73°
Now,
2x + 3 +x +2 +73 = 180° [ .: Co - interior angle ]
3x + 78° = 180°
3x = 180° - 78°
3x = 102°
x = 102/3
.: x = 34°
Again,
angleRPQ = angle PQA
X+2 = Z
34 + 2 = Z
.: z = 36°
Also,
y = 180° - Z [.: Linear pair]
y = 180° - 36°
.: y = 144°
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