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Chapter 10: Q.2 (page 539)

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

Short Answer

Expert verified

The value of xisx=30° and the triangle is an equilateral triangle.

Step by step solution

01

Step 1. Given Information.

One angle of the triangle is60°.

The remaining two angles is given as 2x.

02

Step 2. Formula.

Sum of all angles of a triangle is180°.

03

Step 3. Calculation.

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

This gives us,

2x+2x+60=∘180°

Add both x together.

4x+60=∘180°

Subtract 60 from both the sides.

4x+60-∘60=∘180-∘60°

This gives us,

4x=120°

Now, divide both sides by 4.

4x4=120°4

This will give us,

x=30°

Since, the other two sides of the triangle are 2x. Multiply it with 2. The angle of each side is,

2x=2×30°=60°

Hence, all the angles of the triangle are60°.

04

Step 4. Conclusion.

The value of x isx=30°.

All the three angles of the triangle are60°.

Hence, it is an equilateral triangle.

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Most popular questions from this chapter

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