Question

In the given figure, if AB || CD and EF || CD, then the value of x is

(1) 30°
(3) 45°
(2) 36°
(4) 52°
pls explain ans and solve​

Answer 1

Answer:

36°

Step-by-step explanation:

From the given,

AB||CD

:. ABC= BCD......alternate angles

:. ABC= BCD = 66°

:.BCD=66°..1

But BCE+ECD = BCD

:. x + ECD= 66°.....(66 from 1)....2

Lets find ECD

:. EF || CD

:.FEC+ECD = 180°....... interior angles

:.150°+ ECD =180°

ECD =180°-150°

ECD =30°.......3

Put in eq 2

x + ECD= 66

:. x + 30°= 66.........(from 3)

:. x= 66-30

x=36°

Hope it will help