Question

Find the value of ∠BAD in the parallelogram ABCD.

• A. ${105}^o$
• B. ${65}^o$
• C. ${75}^o$
• D. ${85}^o$

Answer 1

The correct option is C ${75}^o$

Properties of a parallelogram:
(1) Opposite sides are equal to each other.
(2) Opposite sides are parallel to each other.
(3) Opposite angles are equal.

In the parallelogram ABCD:
∠BAD and ∠BCD are opposite angles.
So, ∠BCD = ∠BAD
∴ ∠BAD = 75°