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Angles

Compare and measure angles and explain their types and sum–difference relationships.

Meaning

An angle measures the opening between two rays from one point. A right angle is 90 degrees; an acute angle is between 0 and 90; an obtuse angle is between 90 and 180.

Example

At 3 o'clock, the smaller angle between the clock hands is a right angle of 90 degrees. Unequal hand lengths do not change the opening. Angle size does not depend on drawn side length. Check whether the question means the smaller or larger angle between the rays.

Practice for this concept

Scope and references

Topics

Angle measures, acute, right, and obtuse angles, vertically opposite angles, angle sums and differences

Learning goal

Compare and measure angles and explain their types and sum–difference relationships.

Helpful background

Explore the two rays forming an angle and measurement units.

Angles

These choice exercises use stated geometric conditions. They do not establish construction, drawing, spatial manipulation, written proof, or mastery of the whole geometry area.