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

Question

If ABCD is a rectangle with &#x2220; BAC=32&#xB0;, find the measure of &#x2220; DBC.

Philoid · Accepted Answer

Given,

ABCD is a rectangle

∠BAC = 32°

∵ we know that diagonals of a rectangle bisects each other

Hence , AO = BO

And, ∠DBA = ∠BAC = 32° (angles infront of same sides)

∵ ∠DBC+∠DBA = 90°

∴ ∠DBC = 90° - 32° = 58°