### What does an isosceles triangle look like?

An isosceles triangle has at least two equal sides and two equal angles An isosceles triangle has two or more congruent sides called legs. In an isosceles triangle with just two congruent sides, the angle formed by the legs is called the apex, and the other two angles, called base angles, are congruent. If the isosceles triangle has three congruent sides (AKA an equilateral triangle), then all three sides and angles are congruent, and there…

### Are the base angles of an isosceles triangle congruent?

Yes, the base angles of an isosceles triangle are always congruent. An isosceles triangle commonly has two sides that are equal in length. The base angles are the angles opposite those two equal sides of the triangle. A geometric theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. The converse is also true.

### What are two angles having the same measurements?

This are called congruent angles. For example, In an isosceles triangle, the two angles which are opposite to the sides that have the same length, have the same measurements. They are called the base angles of the triangle. When each of them is 45 degree, the triangle is also a right triangle, since the other angle is 90 degree.

### What is the measure of an acute base angle of the trapezoid of an isosceles triangle vertex of 46 degrees?

For an isosceles triangle with vertex 46 degrees, the sum of the remaining two base angles is 180-46 = 134 degrees. Base angles are equal because it's isosceles, so each angle is half of their sum. 134/2 = 67 degrees. Thus, any isosceles trapezoid formed inside that isosceles triangle by drawing parallel lines to the triangle's base, will have base angle measures of 67 degrees, which are triangle's base angles.