Question

If ABCD is a rectangle with ∠BAC = 32°, find the measure of ∠DBC.

Answer 1

ABCD is a rectangle and ∠BAC = 32° (given)

We know, diagonals of a rectangle bisects each other.

AO = BO

∠DBA = ∠BAC = 32° (Angles facing same side) 

Each angle of a rectangle = 90 degrees 

So, ∠DBC + ∠DBA = 90° 

or ∠DBC + 32° = 90° 

or ∠DBC = 58°