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Question

In the given figure, if AB || CD, then find the value of x.
Note: The line p is parallel to AB and CD.

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Solution

1=45 [Alternate interior angles are equal]
2=30 [Alternate interior angles are equal]

BOC=1+2
BOC=45+30=75

Angle around a point is 360°.
So, x+BOC=360°
x = 360° - BOC
x = 360° - 75° = 285°

Hence, the value of x is 285°.

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