Question

Match the following with the values of 'x'.

• A. 90°
• B. 100°
• C. 75°

Answer 1

In the above figure, we see that, opposite sides are equal and parallel and one of the angles is 90${}^{\circ }$. Hence, each angle becomes 90${}^{\circ }$ and hence it is a rectangle.
$\therefore x={90}^{\circ }$

The above figure is a quadrilateral whose adjacent sides are equal and hence it is a kite.
$\therefore x={100}^{\circ }$
The above figure is a parallelogram with all sides equal. By property of parallelograms(which is, opposite angles are equal), we have, $x={75}^{\circ }$