Question

Diagnols of Quadrilateral bisect each other. If Angle A is 35 degree. Then find Angle B​

Answer 1

Answer:

Given -

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