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Question

Find the x in the given figure, if AB || CD.​

A
75
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B
55
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C
160
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D
145
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Solution

The correct option is D 145

Draw PQ || AB and CD​

x=CPQ+BPQ

BPQ=ABP=20°(alternate interior angles)​

CPQ+DCP=180°(co-interior angles are supplementary)​

CPQ+55°=180°

CPQ=180°55°=125°

Therefore, ​

x=CPQ+BPQ

=20°+125°

=145°

​Answer: (D) 145°​

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