Question

In the given figure AB is parallel to CD then find the value
of x​

Answer 1

Hope I was able to help u out

Answer 2

Assumption:

angle EOP = x

angle EPC = 4x

To Find:

The value of x.

Coincident Angles:

Two angles on the lines or shapes that lie exactly on top of each other.

angle EOP = angle EPD = x

Linear Pair:

A linear pair of angles must add up to 180°.

Solution:

angle EPC + angle EPD = 180°

or, 4x + x = 180°

or, 5x = 180°

or, x = 180/5

or, x = 36°

Answer:

The value of x is 36°.