Diagonals of a quadrilateral SARK bisect each other. If S = 35°, then find the value
of ZA
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Answer:
ABCD is a quadrilateral with AC & BD as its diagonals bisecting each other at O. ∠BAD=35
o
.
To find out- m∠ABC
Solution-
Between ΔAOD & ΔBOC we have,
AO=CO & DO=BO ...(since AC & BD bisect each other at O)
∠AOD=∠BOC
∴ΔAOD & ΔBOC are congruent. ⟹AD∥BC
Now, AB is the transversal to AD & BC$$
So, ∠BAD+∠ABD=180
o
...(same side internal angles)
⟹35
o
+∠ABD=180
o
⟹∠ABD=145
o
Ans- ∠B=145
o
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