Question

Find the value of x, and z in the following parallelogram

please answer this question as soon as possible​

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

∘