question_answer 1)

Classify each one of the following angles as right, straight, acute, obtuse or reflex.

Answer:

We know that, An angle which is smaller than a right angle is called an acute angle. An angle with measure \[{{90}^{o}}\] is called a right angle. An angle which is greater than a right angle but smaller than a straight angle is called an obtuse angle. An angle with measure \[{{180}^{o}}\]is called a straight angle. An angle which is greater than a straight angle but smaller than a complete angle is called a reflex angle. Now, from these results (a) Given angle is smaller than a right angle, so it is an acute angle. (b) Given angle is more than a right angle, so it is an obtuse angle. (c) Given angle is a right angle. (d) Given angle is more than a straight angle, so it is a reflex angle. (e) Given angle is a straight angle. (f) Both angles are smaller than a right angle, so both these are acute angles.