Question

$ABCD$ is a rectangle. If ABP and BCQ are equilateral triangle, $\angle PBQ$ = ....

• A. ${65}^0$
• B. ${75}^0$
• C. ${60}^0$
• D. ${90}^0$

Answer 1

The correct option is D ${90}^0$

$ABCD$ is a rectangle. So, $\angle ABC={90}^0$
ABP and BCQ are equilateral triangle, So, $\angle CBQ=\angle ABP={60}^0$
So,

$\angle PBQ=\angle ABC-\angle ABP+\angle CBQ={90}^0-{60}^0+{60}^0={90}^0$