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Chapter 10: Q.1 (page 539)

The ratio of the angle measures of a triangle is1:1:1. Find the angle measures. Then classify the triangle by its angle measures.

Short Answer

Expert verified

The measure of all the angles measure is60掳.

The triangle is an equilateral triangle.

Step by step solution

01

Step 1. Given Information.

The ratio of angles of a triangle is1:1:1.

02

Step 2. Formula.

Sum of all angles of a triangle is180掳.

03

Step 3. Calculation.

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

Let x be the angle of a triangle.

x+x+x=180掳

This gives us,

3x=180掳

Dividing both sides by 3.

x=180掳3

Hence, final value of x isx=60掳.

04

Step 4. Conclusion.

The angle measures is60掳.

Since all the angles of the triangle are same it is an equilateral triangle.

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Most popular questions from this chapter

Preparing for success: To prepare for success in this chapter, test your knowledge of these concepts and skills. You may want to look at the pages referred to in blue for additional review.

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