Question

In the given figure, AB and CD are parallel to each other .Find the value of x​

Answer 1

Answer:

100°

Step-by-step explanation:

Let the side with 120 degree angle be F

Let the side with 140 degree angle be G

Join BD such that BD is perpendicular to CG

BFEGD is a pentagon with angle GDB = angle DBF = 90 degree

By angle sum property of pentagon,

120 + 140 + x + 90 + 90 = 540

x + 440 = 540

x = 540 - 440

x = 100°