Question

measure of ZBPC.
the parallelogram. Find the
In the given figure, PQRS is a parallelogram. Find the value of Zx, Zy, and Z:
S
R
P​

Answer 1

Step-by-step explanation:

(i)

x=180−90=90

In ΔSAR

y=180−(90+40)

y=50

∠PSA=∠ASR

∠PSR=

2

1

∠ASR=100

So ∠PQR=100 (opposite angles)

And hence ∠Z=50

(ii)

x=110 (opposite angle are equal)

SR∥PQ ; RQ is transversal

So x+z=180

z=70

Also y+z=180 ( ST line )

y=110