Solved Examples on Types of Angles

Complementary and Supplementary Angles

Practice Problems on Types of Angles

Example 1: An Angle A measures 135° in measure. Which type of category does Angle A fall into?

Answer:

Angle A lies between 90° to 180° in measure. Angle A is, therefore, an Obtuse Angle.

Example 2: An Angle S measures 35° in measure. Which type of category does Angle S fall into?

Answer:

Angle S lies between 0° to 90° in measure. Angle S is therefore an Acute Angle.

Example 3: An Angle X measures 235 degrees in measure. Which type of category does Angle X fall into?

Answer:

Angle X lies between 180° to 360° in measure. Angle X is therefore a Reflex Angle.

Example 4: An Angle Z measures 335° in measure. Which type of category does Angle Z fall into?

Answer:

Angle Z lies between 180° to 360° in measure. Angle Z is therefore a Reflex Angle.

Example 5: Find the complement of 40° and the supplement of 25°.

Solution:

Those angles that sum up to 90°are called as Complementary angles .

The complement of 40° is 50° because (90° – 40° = 50°).

Those angles that sum up to 180°are called as Supplementary angles.

The supplement of 25° is 155° because (180° – 25° = 155°).

Important Maths Related Links:

Types of Angles

Types of Angles: An angle is a geometric figure formed by two rays meeting at a common endpoint. It is measured in degrees or radians. It deals with the relationship of points, lines, angles, and shapes in space. Understanding different types of angles is crucial for solving theoretical problems in geometry.

As we know an angle is a geometrical shape formed by joining two rays at their endpoints and is generally measured in degrees. There are different types of angles in geometry which are mentioned in the article below. We have mentioned various types of angles with diagrams, definitions, and examples below.

Table of Content

What are Angles?
How many Types of Angles are there?
Six Types of Angles

Acute Angle
Right Angle
Obtuse Angle
Straight Angle
Reflex Angle
Complete Angle

Types of Angles based on Rotation

Positive Angles
Negative Angles

Types of Pair of Angles

Adjacent Angles
Linear Pair
Vertically Opposite Angles

Complementary and Supplementary Angles

Complementary Angles
Supplementary Angles
Parts of an Angle