vertex angle of an isosceles triangle
In an isosceles triangle, the vertex angle is the angle formed at the vertex (or top) of the triangle, opposite to the base angles
In an isosceles triangle, the vertex angle is the angle formed at the vertex (or top) of the triangle, opposite to the base angles.
Since an isosceles triangle has two equal sides, the base angles are also equal. Let’s denote the vertex angle as V, and the base angles as B.
The sum of all angles in a triangle is always 180 degrees. Therefore, we can write the equation:
V + B + B = 180
Since the base angles are equal, we can simplify the equation as:
V + 2B = 180
To find the measure of the vertex angle in terms of the base angle, we isolate V:
V = 180 – 2B
So the measure of the vertex angle of the isosceles triangle is obtained by subtracting twice the measure of the base angle from 180.
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