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Angle Word Problems

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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.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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