 # Angle Word Problems

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Examples, videos, worksheets, solutions, and activities to help Algebra students learn how to solve word problems that involve angles.

How to solve word problems to find the measure of angles?
Example:
There is half an apple pie left. You want to eat twice what your little brother eats but you also need to save a slice for your mum. You cut her a slice that is 30°. What is the measure of your piece of pie in degrees?
Complementary and Supplementary Angles Word Problems
Example:
The supplement of an angle is 18 less than 3 times the complement of an angle. What is the measure of the angle?

Geometry Word Problems - Angles of a Triangle
Students are asked to solve word problems that involve the triangle sum theorem. Students also learn the exterior angle theorem, which states that the exterior angle of a triangle is equal to the sum of the measures of the remote interior angles. Students are then asked to solve problems related to the exterior angle theorem using Algebra.
Example:
The measure of the angles of a triangle are in the ratio 2:5:8. Find the measure of each angle.
Geometry Word Problems - Supplementary Angles
Students are given word problems involving complementary and supplementary angles that require the student to set up an equation to find the measures of the given angles.
Example:
Find the measures of two supplementary angles if three times the measure of one angle is 12 degrees less than the measure of the other.

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