Acute Angle: An

Obtuse Triangle:

An

Equilateral Triangle:

In geometry, an

**acute angle**("**acute**" meaning "sharp") is an**angle**smaller than a right**angle**(it is less than 90 degrees and more than 0 degrees).If you choose the larger**angle**you. will have a Reflex**Angle**instead. The smaller**angle**is an**Acute Angle**, but the larger**angle**is a Reflex**Angle**.
Acute Triangle:

An

**acute triangle**is a**triangle**with all three angles**acute**(less than 90°). An**obtuse triangle**is one with one**obtuse**angle (greater than 90°) and two**acute**angles. Since a**triangle's**angles must sum to 180°, no**triangle**can have more than one**obtuse**angle.
Adjacent Angles:

Two

**angles**are**Adjacent**when they have a common side and a common vertex (corner point) and don't overlap.**Angle**ABC is**adjacent**to**angle**CBD. Because: they have a common side (line CB) they have a common vertex (point B)**Alternate Interior Angles**. When two lines are crossed by another line (called the Transversal): The pairs of

**angles**on opposite sides of the transversal but inside the two lines are called

**Alternate Interior Angles**.

An

**obtuse triangle**is a**triangle**in which one of the angles is an**obtuse**angle. (Obviously, only a single angle in a**triangle**can be**obtuse**or it wouldn't be a**triangle**.) A**triangle**must be either**obtuse**, acute, or right.Equilateral Triangle:

In geometry, an

**equilateral triangle**is a**triangle**in which all three sides are equal. In the familiar Euclidean geometry,**equilateral triangles**are also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.
Linear Pair of Angles:

A

**linear pair of angles**is formed when two lines intersect. Two**angles**are said to be**linear**if they are adjacent**angles**formed by two intersecting lines. The measure of a straight**angle**is 180 degrees, so a**linear pair of angles**must add up to 180 degrees.
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