Question

24. In the parallelogram PLMN, find the value of x, y and z.

Answer 1

Answer:

∠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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