The base angles of an isosceles triangle are congruent. The vertex angle of an isosceles triangle is not necessarily congruent to the base angles.
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The two "base" angles.
Isosceles; a triangle with two congruent (equal) sides.
It has to have at least 2 congruent angles and/or sides to be isosceles. Therefore, an equilateral angle would be isosceles.
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 no definitive base or vertex angles, besides...all of them. See related link below for the web address
(180 - 38)/2 = 71 degrees (base angles of an isosceles triangle are congruent).