you need the apex angle, call it n. Each base angle is one-half of (180 - n)
Chat with our AI personalities
The base angles of an isosceles triangle are the two angles with the same measure, each formed by the intersection between the base of the triangle and one of the two legs.
Yes, because of the base angles theorem converse: If two angles in a triangle are congruent, then the sides opposite the angles are congruent.
It can be an obtuse triangle with 2 different acute angles or it can be an isosceles triangle with 2 equal base angles of 17.5 degrees
isosceles
In the diagram, ABC is an isoscels triangle with the congruent sides and , and is the median drawn to the base . We know that ∠A ≅ ∠C, because the base angles of an isosceles triangle are congruent; we also know that ≅ , by definition of an isosceles triangle. A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side. That means ≅ . This proves that ΔABD ≅ ΔCBD. Since corresponding parts of congruent triangles are congruent, that means ∠ABD≅ ∠CBD. Since the median is the common side of these adjacent angles, in fact bisects the vertex angle of the isosceles triangle.