Examples on Angles
Example 1: Find the complementary angle of ∠A = 48o.
Solution:
Given angle,
∠A = 48o
Complement of any Angle = 90o – Angle
Complement of ∠A = 90o – 48o
Complement of ∠A = 42o
Thus, the complement of ∠A is 42o
Example 2: Find the supplemenatry angle of ∠A = 48o.
Solution:
Given angle,
∠A = 48o
Supplement of any Angle = 180o – Angle
Supplement of ∠A = 180o – 48o
Supplement of ∠A = 132o
Thus, the complement of ∠A is 42o
Example 3: Find the supplementary angle of ∠A = 98o.
Solution:
Given angle,
∠A = 98o
Supplement of any Angle = 180o – Angle
Complement of ∠A = 180o – 98o
Complement of ∠A = 82o
Thus, the complement of ∠A is 82o
Example 4: Classify the angles into different categories,
- ∠A = 12o
- ∠B = 172o
- ∠C = 232o
- ∠D = 180o
Solution:
(1) ∠A = 12o
As the measure of ∠A is less than 90o, thus it is an acute angle.
∠B = 172o
As the measure of ∠B is greater than 90o, thus it is an obtuse angle.
∠C = 232o
As the measure of ∠C is greater than 180o, thus it is a reflex angle.
∠D = 180o
As the measure of ∠D is equal to 180o, thus it is a straight angle.
Angles Definition, Types and Examples
An angle is a figure which is formed by two rays or lines that share a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two lines joined together are called the arms of the angle and the measure of the opening between them is the value of the angle between these two lines.
In this article, we will learn about the definition and parts of angles in Geometry, their representation, examples, and types like acute angle, right angle, obtuse angle, etc. along with FAQs.
Table of Content
- Angle Definition
- Parts of an Angle
- Types of Angles
- Types of Angles Based on Measurement
- Positive and Negative Angles
- Types of Angles in Pair
- How to Measure an Angle?
- Steps to Construct an Angle
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