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Found in: Page 539


Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Find the value of x. Then classify the triangle by its angle measures.

The value of x isx=20° and the triangle is an isosceles triangle.

See the step by step solution

Step by Step Solution

Step 1. Given Information.

One angle of the triangle is80°.

Second angle is given as4x°.

Third angle is given asx°.

Step 2. Formula.

Sum of all angles of a triangle is180°.

Step 3. Calculation.

The sum of all the angles of a triangle is180°.

This gives us,


Add both x together.


Subtract 80 from both the sides.


This gives us,


Now, divide both sides by 5.


This will give us,


Since, the other two angles of the triangle are 4x and x.

To find the value of the angles multiply it with 20.

The angle of second side is 4x.

Multiply it with 4.


Which gives the value as80°.

The angle of the third side is x.

And the value of x isx=20°.

Which gives us the value as20°.

Step 4. Conclusion.

The value of x isx=20°.

One angle is80°, Second angle is 80° and the third angle is20°.

Two sides of the triangle are same and one is different.

Hence, it is an isosceles triangle.

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