Question

in the figure,AB parallel CD, find x

Answer 1

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Answer 2

Answer:

x=288

Step-by-step explanation:

Given information: AB║CD

Draw a line which is parallel to AB and CD, and divides the angle x in two parts y and z.

If a transversal line intersect two parallel lines, then interior angles on same sides are supplementary angles. It means the sum of  interior angles on same sides is 180°.

Angle with measures y and 48 are supplementary angles.

$y+48=180$

Subtract 48 from both sides.

$y=180-48$

$y=132$

Angle with measures z and 24 are supplementary angles.

$z+24=180$

Subtract 24 from both sides.

$z=180-24$

$z=156$

The value of x is

$x=y+z=132+156=288$

Therefore the value of x is 288.