Which of the following sets of triangles are similar according to the Angle-Angle Similarity Postulate?

equilateral triangles

equiangular triangles

both equilateral and equiangular triangles

neither equilateral nor equiangular triangles

Answer: both equilateral and equiangular triangles

Yes

Both equilateral and equiangular triangles

Step-by-step explanation:

The AA (Angle-Angle) similarity states that if two pairs of corresponding angles are congruent, then the triangles are similar

In equilateral triangles, all angles are equal. The corresponding sides of two equilateral triangles are congruent thus they will be similar. An Equiangular triangle is also an equilateral triangle because its interior angles are the same and add up to 180°.

Both equilateral and equiangular triangles.

Step-by-step explanation:

A triangle is a shape with three sides and three angles. It can generally be classified according to the length of its sides or according to its angles.

Two triangles are said to be congruent or similar, either with respect to its sides or angles, when some properties are met. The Angle-Angle property implies that when two pairs of corresponding angles of given triangles are equal, then the triangles are similar or congruent.

An equilateral triangle has all sides to be equal, and an equiangular triangle has all angles to be equal. With this property, it can be deduced that:

an equiangular triangle is the same as an equilateral triangle because its angles and the length of sides are the same.

So according to the Angle-Angle property, both equilateral and equiangular triangles are similar.