Question

Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle. Justify your answer.

Answer 1

No

each of these adjacent angles will be a right angle only they form a linear pair,

Observe the following figure,

Here, both angles are equal and are forming a line.

Now, lets observe the following adjacent angles.

Here, both adjacent angles are equal but not each angle is ${90}^{\circ }$. Since, they are not forming linear pair.

Therefore, Two adjacent angles are equal. It is not necessary that each of these angles will be a right angle.