Question

In the following figure, three equal rhombuses are arranged.

What additional information do you depict about the interior angles of rhombuses?

• A. $\angle B=\angle Q=\angle M={60}^{\circ }$
• B. $\angle B=\angle Q=\angle M={120}^{\circ }$
• C. $\angle C=\angle P=\angle N={60}^{\circ }$
• D. $\angle C=\angle P=\angle N={120}^{\circ }$

Answer 1

Answer: (A), (D)

The correct options are
A

$\angle B=\angle Q=\angle M={60}^{\circ }$

D

$\angle C=\angle P=\angle N={120}^{\circ }$

In Rhombus ABCO

$\angle O={60}^{\circ }$

So, $\angle B={60}^{\circ }$ since opposite angles of a rhombus are equal.

Also, $\angle O+\angle C={180}^{\circ }$

Hence, $\angle C={120}^{\circ }$