Question

In the following figure, AC and BD are the diagonals of quadrilateral ABCD. If AC is perpendicular to BD , then which of the following angles is not the right angle?

• A. $\angle APD$
• B. $\angle CPD$
• C. $\angle BPC$
• D. $\angle PBC$

Answer 1

The correct option is D $\angle PBC$

In the given figure, AC is perpendicular to BD.
So, $\angle APD={90}^{\circ }$
Also, $\angle APD=\angle APB=\angle BPC=\angle CPD={90}^{\circ }$
The value of $\angle PBC$ is not equal to ${90}^{\circ }$ as no two angles are equal to ${90}^{\circ }$ in any triangle.