Question

A quadrilateral ABCD has all its angles of the same measure. What is the measure of each angle?

• A. ${45}^{\circ }$
• B. ${75}^{\circ }$
• C. ${90}^{\circ }$
• D. ${135}^{\circ }$

Answer 1

The correct option is C ${90}^{\circ }$

Let each angle be $x^o.$
Since all angles are equal,
we have,
$x+x+x+x={360}^{\circ }$
$4x={360}^{\circ }$
$4x={90}^{\circ }$
So, each angle is ${90}^{\circ }$.