Isosceles Triangles: Finding The Vertex Angle And Base Angles

vertex angle of an isosceles triangle

The angle formed by the legs of an isosceles triangle.

An isosceles triangle is a triangle that has two sides of equal length. The vertex angle of an isosceles triangle is the angle formed by the two equal sides, opposite the third side of the triangle.

It is important to note that in an isosceles triangle, the two base angles are equal in measure. Therefore, the vertex angle of an isosceles triangle can be found by dividing the sum of the other two angles in half.

For example, if the two base angles of an isosceles triangle are each 40 degrees, then the sum of those angles is 80 degrees. To find the measure of the vertex angle, divide 80 by 2, which gives a vertex angle measure of 40 degrees.

So, the vertex angle of an isosceles triangle equals half the sum of the other two angles.

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