Question

Diagonal of a rectangle ABCD intersect at point O. If∠CAD=40° then find∠ACB.

A)40°

B)90°

C)50°

D)45°

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Answer 1

Answer:

Diagonals of a rectangle are congruent.

So, AC=BD=8 cm

Also, rectangle is a parallelogram so, the diagonals bisect each other.

Thus, BO=OD=4 cm

Now, AD∣∣CB

So, ∠CAD=∠ACB=35

o

(Since, alternate interior angles are equal)