The vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.
Given, an isosceles triangle
and we are asked that is vertex angle congruent to the base angles,
Let suppose ABC is an isosceles triangle with AB = AC
as we know that the angles opposite to the equal sides are also equal.
so, ∠ABC = ∠ACB
now, if ∠ABC = ∠ACB = x
then, on using angle sum property, we get
∠ABC + ∠ACB + ∠BAC = 180°
x + x + ∠BAC = 180°
∠BAC = 180° - 2x
as, x ≠ 180° - 2x
therefore, ∠BAC ≠ ∠ABC
So, the vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.
Hence, the vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.
Learn more about Angle Sum Property here https://brainly.com/question/22262639
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