# How do you find the positive acute angle?

Jun 16, 2016

Positive acute angles are those measured counterclockwise from initial to final position of the ray and whose size is less than ${90}^{o}$ (i.e $\frac{\pi}{2}$ radians), that is less than the right angle.

#### Explanation:

An angle is a part of a two-dimensional plane located between two rays that share the origin.

When we want to measure angle, we usually measure the rotation needed to transform one of those boundary rays into another. That means, that the proper measurement can be achieved if we
(a) choose which ray is the beginning and which is the ending position of a rotation,
(b) choose one of two directions (counterclockwise, considered positive, or clockwise, considered negative).

Once these decisions are made, we can talk about positive angles (those with counterclockwise rotation) and acute angles (those measured less than ${90}^{o}$.