Acute Angle : Definition, Formula, Degrees, Images, Applications and Examples

When two line segments join together or when two rays join together with a common point and this leads to the formation of an angle. Angles can be represented with the help of the symbol ∠. Measurement of angle can be done in the ( °) commonly called the degree. Any point at which every line meets is termed the vertex of an angle. When two different lines make one angle than the two lines are termed to be as the arms of the angle. Angles can be measured with the help of a protector. There are many different types of angles such as acute angle, obtuse angle and right angle. An angle which is greater than the right angle is termed to be an obtuse angle.

The angle whose measure is about 90° is termed to be the right angle.

An angle Which is less than the right angle that is less than 90 degrees is termed to be an acute angle.

For getting a very deep detail of all the angles you must grow through this article once.

What are acute angles?

Acute angles are defined as any angle which has a measure smaller than the right angle. These angles have a value of less than 90° which is less than the right angle and they constitute many different polygons such as right angle triangle and right angle parallelogram. In these types of polygons, one angle should be measured to be about an acute angle.

Degrees of acute angle

An acute angle degree measures less than that 90°.

There are many examples of acute angle degrees such as the 65° and 80°.

Commonly we can say that the acute angle lies between 0° and 90°.

Parts of acute angle

When two line segments join together or when two rays join together with a common point and this leads to the formation of an angle. Angles can be represented with the help of the symbol ∠. Measurement of angle can be done in the ( °) commonly called the degree. Any point at which every line meets is termed as the vertex of an angle. When two different lines make one angle than the two lines are termed to be as the arms of the angle.

Different polygons that contain acute angle

Acute angle triangle

• when the angles of the triangle are measured to be less than 90° then they are termed to be the acute angle triangle.

• Equilateral triangles are considered to be the acute triangle as they have a sum total of 60° + 60° + 60 degrees.

• The longest side of the acute triangle is considered to be that side which is opposite to the highest angle present in the Triangle.

• Isosceles triangles and Scalene triangles can also be considered as the acute triangles.

• An acute angle triangle always contains an interior angle to be less than 90°.

• The line constructed from the base of the triangle and up to the opposite vertex is found to be perpendicular to the base in the acute angle triangle.

Acute angle parallelogram

A parallelogram is defined as a quadrilateral that has opposite sides to be parallel. In parallelograms opposite angles are always equal.

In a parallelogram, there are observed to be too acute angles and two obtuse angles

Acute angle trapezoid

The trapezoid is termed to be a parallelogram that has the parallel sides of one pair. In an acute angle trapezoid the interior angles in the trapezoid measure to be about less than 90°

Acute angles in real life example

• The letter V makes an angle that is present in the alphabet as an example of an acute angle.

• When we cut down pizza into four or more four slices then each of the pizza slices constitutes an acute angle.

• When we talk about the wall clock, it makes a cute angle many times a day, such as when it is observed at 1:00.