Question

Complete.

If $▵\mathbf{REV}$ is an equiangular triangle, then $▵\mathbf{REV}$ is also a(n) $\underset{¯}{\mathbf{?}}$ triangle.

Short answer

If $▵REV$ is an equiangular triangle, then $▵REV$ is also an equilateral triangle.

Step-by-step solution

- Observe the given diagram.

The given diagram is:

- Definition of equiangular triangle.

The equiangular triangle is a triangle in which the measures of all the interior angles of the triangle are equal.

- Definition of equilateral triangle.

The equilateral triangle is a triangle in which all interior angles of the triangle have measure of $\mathbf{60}\mathbf{°}$.

- Write the conclusion.

As,equiangular triangle is a triangle in which the measures of all the interior angles of the triangle are equal and equilateral triangle is a triangle in which all interior angles of the triangle have measure of $60°$.

Therefore, the equilateral triangle is an equiangular triangle.

Therefore, If $▵REV$ is an equiangular triangle, then $▵REV$ is also an equilateral triangle.