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Question

ABCD is a parallelogram. Find the value of x in each case.

A
45
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B
90
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C
40
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Solution

Consecutive angles of a parallelogram are supplementary.
110+25+x=180
x=45

BCA=DAC (alternate interior angles)BCA=65
Similarly DBC=25
Thus BOC=x=180(65+25)=90


BOA=100(vertically opposite angles)
DBA=40(alternate interior angles)
Therefore BAO=x=180(100+40)=40

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