Question

Show that the angles of an equilateral triangle
are 60° each.​

Answer 1

Answer:

For an equilateral triangle, we know that all 3 sides of the triangle are equal. Accordingly, all the 3 sides of the equilateral triangle hold equal angles.

Since, we know, that the sum of all angles of any triangle be 180° .

Let each angle be a.

Thus, a+a+a=180^{\circ}a+a+a=180

∘

\begin{lgathered}\begin{array}{l}{\Rightarrow \quad 3 a=180^{\circ}} \\ {\Rightarrow a=\frac{180^{\circ}}{3}} \\ {\Rightarrow a=60^{\circ}}\end{array}\end{lgathered}

⇒3a=180

∘

⇒a=

3

180

∘

⇒a=60

∘

Hence, we can show that all the 3 angles of an equilateral triangle hold equal angles; i.e. 60°.

Answer 2

hey mate your answer is in attachment

hope its helpful for you please mark be brainly