Question

If in the given figure ABCD and PORS are
parallelograms, then the value of x is​

Answer 1

Answer:

x=50°

Step-by-step explanation:

In ABCD =Angle A=Angle C..(opposite side of parallelogram are congruent)

Angle C = 120°

angle BCD+angle BCQ=180°..Linear pair

120°+angle BCQ=180

Angle BCQ=60°

IN PQRS,

R=70

angle R+angle Q=180°.. Adjacent angles of parallelogram are supplementary

Angle Q=110°

angle PQR+angle PQD=180..Linear pair

110+angle PQD=180

angle PQD=70

angle xCQ+ angle xQC+angle CxQ=180..Sum of all angles of ∆ is 180°

60+70+x=180

130+x=180

x=50

I hope you find it helpful..