find x yandz in following paralleogram
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∠PQR+ext.∠Q=180∘ [Linear pair]
∠PQR+80∘=180∘⇒∠PQR=100∘
x+100∘=180∘ [Supplementary angles of parallelogram]
x=80∘
In △PSR,Z=∠SRP [Alternate angles]
∴80∘+60∘+Z=180∘⇒Z=180∘−140∘=40∘
In △PQR,
40∘+y+100∘=80∘
y=180∘−140∘=40∘
∠PQR+ext.∠Q=180∘ [Linear pair]
∠PQR+80∘=180∘⇒∠PQR=100∘
x+100∘=180∘ [Supplementary angles of parallelogram]
x=80∘
In △PSR,Z=∠SRP [Alternate angles]
∴80∘+60∘+Z=180∘⇒Z=180∘−140∘=40∘
In △PQR,
40∘+y+100∘=80∘
y=180∘−140∘=40∘
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