Question

Q. Prove that the three angles of an equilateral triangle are equal.

Answer 1

Answer:

Given: PQR is an equilateral triangle.

To prove: ∠QPR = ∠PQR = ∠ PRQ.

Proof:

In the equilateral ∆PQR, let ∠PQR = ∠PRQ = ∠RPQ = x°. Therefore, 3x° = 180° as the sum of the three angles of a triangle is 180°.

If one angle of an isosceles triangle is given, the other two can be easily found out.

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Answer 2

let each angle be x

the total sum of the angle of triangle is 180 degree.

x+x+x=180

3X=180

x=180/3

x=60

so each angle will be 60 degree