Question

find the value of x y and z write the properties used





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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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