Question

ABCD is a square. A line segment AM intersects the side BC at M and the diagonals BD at O such that angle AOB=110^ . Find the value of X ^ 0 .​

Answer 1

Step-by-step explanation:

Answer

In □ ABCD, 

The diagonal AC bisect the ∠ACB and ∠BAD.

Also, the diagonal BD bisects ∠ADC and ∠ABC.

∴ m(∠OAB)=290=45o and m(∠OBA)=290=45o

In △AOB,

m(∠AOB)+m(∠OAB)+m(∠OBA)=180o

⟹m(∠AOB)+45o+45o=180o

∴m(∠AOB)=90o