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Included Angle

Included Angle

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

An included angle is the angle formed between two given sides of a triangle (or polygon).


A triangle with two sides marked congruent. The angle that is formed by those two sides is marked.

Key points:

  • It is the angle directly between two sides.

  • For example, in triangle ABC, if the given sides are AB and AC, then ∠A is the included angle.

  • The concept of included angle is important in congruence theorems like SAS (Side-Angle-Side) and ASA (Angle-Side-Angle).

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