Question

If the following figure is a rhombus, find the value of ∠BCD.

• A. ${80}^o$
• B. ${60}^o$
• C. ${70}^o$
• D. ${95}^o$

Answer 1

The correct option is A ${80}^o$

Properties of a rhombus:
(1) Opposite sides are parallel.
(2) All sides are equal in length.
(3) Diagonals bisect each other at 90°.
(4) Opposite angles are equal.

Here, ∠BAD and ∠BCD are opposite angles.
So, ∠BAD = ∠BCD

∴ ∠BCD = 80°