Question

In the diagram below, AB is parallel to CD. What is the value of x?

Answer 1

Answer:

Option A is correct.

$x =150^{\circ}$

Step-by-step explanation:

It is given that $\overline{AB}$ is parallel to  $\overline{CD}$

To find the value of x:

labelled the diagram as shown in the attachment:

$\angle DOQ = 30^{\circ}$

$\angle COE = \angle DOQ = 30^{\circ}$  {Vertically opposite angle}

Corresponding angles theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding add up to 180 degree.

$x + 30^{\circ} = 180^{\circ}$

$x = 180 -30 = 150^{\circ}$

therefore, the value of $x =150^{\circ}$

Answer 2

X + 30 = 180
x = 180 - 30
x= 150