# What does it mean when an angle is the included angle?

## What does it mean when an angle is the included angle?

An included angle is the angle between two sides of a triangle. It can be any angle of the triangle, depending on its purpose. The included angle is used in proofs of geometric theorems dealing with congruent triangles.

What is the difference between an included angle and a non included angle?

The “included angle” in SAS is the angle formed by the two sides of the triangle being used. It is the side where the rays of the angles overlap. The “non-included” side in AAS can be either of the two sides that are not directly between the two angles being used.

### What is an example of an included angle?

When two lines meet at a common point (vertex) the angle between them is called the included angle. The two lines define the angle. So for example in the figure above we could refer to the angle ∠ABC as the “included angle of BA and BC”. Or we could refer to “BA and BC and their included angle”.

How do you work out the included angle?

5.7, a) the included angle = the difference of the two reduced bearings. ∠AOB = difference of bearings OA and OB. (b) If the lines are on the same side of the meridian and in the different quadrants (Fig. 5.7, b), the included angle = 180° – sum of the two reduced bearings.

## What does Included side mean?

between two angles
included side. • the side between two angles.

What is not included angle?

Students understand that two sides of a triangle and a 90° angle (or obtuse angle) not included between the. two sides determine a unique triangle. Lesson Notes. A triangle drawn under the condition of two sides and a non-included angle is often thought of as a condition that does not determine a unique triangle.

### What is included angle in SAS?

Vocabulary Language: English ▼ English

Term Definition
Included Angle The included angle in a triangle is the angle between two known sides.
SAS SAS means side, angle, side, and refers to the fact that two sides and the included angle of a triangle are known.

What is the included angle?

The included angle is the fixed SAI with the camber angle included. This is why it’s called the included angle. The larger of the two angles is the included angle and the smaller the SAI angle.

## What are the included angles of a triangle?

An included angle is the angle between two line segments or rays. For any triangle, its three interior angles are each included between two sides. Here we have △ NAP, an equilateral triangle: To find the included angles, start with the sides:

What does included mean in math?

From Latin: includere “to shut in, enclose”. Definition: The angle made by two lines with a common vertex. When two lines meet at a common point (vertex) the angle between them is called the included angle. The two lines define the angle.

### What is included angle of BA and BC?

When two lines meet at a common point ( vertex) the angle between them is called the included angle. The two lines define the angle. So for example in the figure above we could refer to the angle ∠ ABC as the “included angle of BA and BC”. Or we could refer to “BA and BC and their included angle”.