## What is Acute Angle?

In geometry, two rays sharing a common endpoint form an angle. The common endpoint is called the vertex, and the two rays are called the arms of the angle.

## Types of Angles

There are three basic types of angles; right angle, acute angle, and obtuse angle.

## Definition of an Acute Angle

An acute angle is an angle that measures less than 90 degrees.

∠ABC measures 30 ̊and hence it is an acute angle |

A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.

** Acute triangle**

Dividing the right angle will give us two or more acute angles since each newly formed angle will be less than 90˚.

- Right Angle
- Two acute angles are formed by dividing the right angle

**Some real-life examples of acute angles are**:

If we slice a pizza into 5 or more slices, each slice of pizza will make an acute angle.

Each slice of the pizza makes an acute angle.

Another example is the wall clock. The arms of a wall clock make acute angles at several hours of the day. For example, 2 o’clock.

The hour hand and the minute hand form an acute angle at 2 o’clock.

Fun Facts1. At least two angles of any triangle are acute angles. 2. In a 180˚angle, if one angle is obtuse (more than 90˚), the other will always be an acute angle (less than 90˚). |