Question
Which angles are congruent in the isosceles triangle?
Ask by Pritchard Chan. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
In an isosceles triangle, the two angles opposite the equal sides are congruent.
Solution
In an isosceles triangle, two sides are of equal length. The angles opposite these equal sides are congruent.
To summarize:
- If triangle \( ABC \) is an isosceles triangle with \( AB = AC \), then the angles \( \angle B \) and \( \angle C \) are congruent.
Thus, the congruent angles in an isosceles triangle are the angles opposite the equal sides.
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Simplify this solution Bonus Knowledge
In an isosceles triangle, the two angles opposite the equal sides are congruent. This means if you have a triangle where two sides are the same length, the angles that are opposite those sides will also be equal in measure, creating a beautiful balance in the triangle's shape! It's important to note that if you know one of the base angles, you can easily find the third angle (the vertex angle) using the triangle sum property, which states that the sum of all angles in any triangle is 180 degrees. Just subtract the measure of the two congruent angles from 180!
