Question

In the given figure, AB||CD and BC||ED. Find the value of x.

Answer 1

Step-by-step explanation:

Extend line AB,BC,DE by dashed line for better understanding of parallel lines and transversal

< EDC+ <DCB = 180°

(consecutive interior angles of transversal on parallel lines are supplementary)

<DCB = 180°- < EDC

<DCB =180°-75°

<DCB = 105°

Since AB is parallel to DC

So, <DCB and x forms pair of alternate interior angles,and we know that

they are equal

<DCB = x° (pair of alternate interior angle)

x° = 105°

Hope it helps you.

Note: angle DCB is written as <DCB

Answer 2

Answer:

Step-by-step explanation:

< EDC+ <DCB = 180°

<DCB = 180°- < EDC

<DCB =180°-75°

<DCB = 105°

Since AB is parallel to DC

<DCB = x° (alternate interior angle)

x° = 105°