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In-plane geometry, an angle can be defined as:

The word “angle” is carried out from the Latin word “angulus” which means “corner”. An angle has two components that include “sides” and “vertex”. Generally, the side can be described into terminal sides and initial sides (or vertical sides) as shown in the figure below.

A vertex is a corner point of an angle where two lines or sides are meet.

The two straight sides of the angle where a common endpoint joined.

A straight line where an angle is drawn known as the initial line.

The up-side where the angle measurement is done.

Also, you can use a double angle calculator to solve the trigonometric ratios like sin 2θ, cos 2θ, and tan 2θ.

Based on the measurement (magnitude), different types of angles in geometry are classified as follows:

Now you must think about what is an obtuse angle. Read below to know about the obtuse angle definition that is one of the different types of angles in geometry and is given as:

“An angle that is equal to 90 degrees is called a right angle. Since it is one of the angle types geometry in math that represent 90 degrees”.

Whether you want to know what is a straight angle. Let’s discuss the definition of straight angle that is given below:

“An angle whose measurement is equal to 360 degrees is known as full rotation or full angle”. This angle is formed when one of the arms takes a complete rotation.

Based on the direction of the rotation, different angles in geometry can be categorised as follow:

Since it is one of the angle types geometry where angles are measured (rotated) in a counterclockwise direction from the base. Commonly, these angles are used to represent geometry angles names in math. If an angle from the origin is drawn in the (+x, +y) plane, it makes a positive angle.

It is one of all types of angles in math in which angles are measured in a clockwise direction from the base. These angles are commonly used to describe geometry angles names. If an angle is drawn towards the (x, -y) plane from the origin, a negative angle is formed.

Use an online half angle calculator to find the trigonometric values for angle θ/2 with respect to θ with the expression of different trigonometric functions.

When two angles are paired, different angles in math are formed. These are:

An angle is said to be complementary when the sum of two angles is equal to 90°.

Example: Two angles such as 30° and 60°make up 90°

When the sum of two angles is equal to 180°, they are said to be supplementary angles.

Example: when two angles like 110° and 70°added, they make up 180°.

When a line or transversal intersects two parallel lines, equal angles are formed at the opposite (inner) sides which are called alternate interior angles. Since it is one of the different angles in geometry.

When a line or a transversal intersects two parallel lines, they form equal angles at the external side of the line which is known as alternate exterior angles.

The angles that occur at the same position or on the same side of the line or transversal when intersecting two parallel lines are called corresponding angles and these angles are congruent.

When two lines intersect each other, the equal angles are opposite to each other and are called vertical angles. So it belongs to different kinds of angles in geometry.

Last updated: June 13, 2024

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