Question

in the figure AB CD and BC DE find x​

Answer 1

Answer:

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