Question

find the value of x y and z in parallogram ​

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∘