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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=15° and the triangle is a Scalene triangle.

See the step by step solution

Step by Step Solution

Step 1. Given Information.

One angle of the triangle is 45°.

Second angle is given as 4x°.

Third angle is given as 5x°.

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 45 from both the sides.


This gives us,


Now, divide both sides by 9.


This will give us the value of x.


Since, the other two angles of the triangle are 4x and 5x.

To find the value of the angle, multiply it with15°.

The angle of second side is 4x.

Multiply 4 with 15.


Which gives us the value as60°.

The angle of the third side is 5x.

And the value is,


Which gives us the value as 75°.

Step 4. Conclusion.

The value of x is x=15°.

One angle is 45°, Second angle is 60°and the third angle is75°.

All the three angles of the triangle are different. Hence, it is a scalene right-angled triangle.

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