# Acute Angle - Definition with Examples

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## 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, 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 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 a day.  For example, 2 o’ Clock. The hour hand and the minute hand forming an acute angle at 2 o’ Clock.

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

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