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Question

In the given figure, ABCD is a quadrilateral and AO and DO are bisectors of A and D. The value of 'x ' is



Your Answer
A
Your Answer
B
Correct Answer
C
Your Answer
D

Solution

The correct option is C

In a quadrilateral ABCD, AO and DO are bisectors of A and D
 A+B+C+D=360   ( Sum of angles in quadrilateral = 360)
A+B+120+70=360
A+B=170
A2+B2=1702
A2+B2=85
In ΔAOD,
AOD=180(A2+B2)    ( Sum of angles in triangle = 180)
AOD=18085
AOD=95
Hence, the value of 'x 'is 95.

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