Question

$\angle PCD$

• A. $5^{\circ }$
• B. ${25}^{\circ }$
• C. ${10}^{\circ }$
• D. ${15}^{\circ }$

Answer 1

The correct option is D ${15}^{\circ }$

Triangle APB equilateral triangle so each angle is equal to 60 degree.

Angle ABC is 90 degree and angle APB is 60 degree so angle PBC will be 90-60=30 degree.

We know that AB=BC=PB

So triangle PBC is a isosceles triangle. So angle BPC $=$ angle PCB $=x$ (say)

$x+x=30=180$

$x=75$

Angle PCD $=90-x$

$=90-75$

$=15$

So correct answer will be option D