Question

8.Show that the angles of an equilateral triangle are 60° each.
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Answer 1

$\bf \large{Let, }$

• ABC be an equilateral angle as shown above.

$\bf \large{From\:the\: questiõn , }$

$\large\sf{A+B+C = 180°}$

$\large\sf{\longrightarrow{3A=180°}}$

$\large\sf{\longrightarrow{A=\frac{180°}{3}}}$

$\large\sf{\longrightarrow{A=60°}}$

• So, A = B = C = 60°

• So, the angles of equilateral triangle are always 60°.

Answer 2

Answer:

By angle sum property we know that the sum of all the angles of a triangle is 180

We know that all the sides of a triangle are equal.

i.e all the angles of an equilateral triangle are equal.

Let each angle be x.

x+x+x=180

60o

3x = 180

⇒x = 60

Hence the answer.

Thanks!!