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grigory [225]
3 years ago
5

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

Mathematics
2 answers:
ohaa [14]3 years ago
8 0

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}

earnstyle [38]3 years ago
4 0
X + 30 = 180
x = 180 - 30
x= 150
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