Question

Classify the following into acute angle, obtuse angle, reflex angle, and right angle:

$60°,120°,270°,210°,30,45°,150°,235°$

Answer 1

Classifying the angles:

• Acute angle: The angle whose magnitude is less than $90°$ is called an acute angle.

Therefore, $60°,30°,45°$ are acute angles from the given angles.

• Obtuse angle: The angle whose magnitude is greater than $90°$ but less than $180°$ is called the obtuse angle.

Therefore, $120°,150°$ are obtuse angles from the given angles.

• Reflex angle: The angle whose magnitude is greater than $180°$ but less than $360°$ is called a reflex angle.

Therefore, $270°,210°,235°$ are reflex angles from the given angles.

• Right angle: The angle whose magnitude is equal to $90°$ is called a right angle.

There is no right angle in the given angles.