The vertex angle of an isosceles triangle measures 40 degrees? What is the measure of the base angle?
In an isosceles triangle, the base angles are congruent (meaning they have the same measure), while the vertex angle is the angle opposite the base
In an isosceles triangle, the base angles are congruent (meaning they have the same measure), while the vertex angle is the angle opposite the base.
Since the vertex angle in this case measures 40 degrees, and the base angles are congruent, we can divide the remaining 180 degrees of the triangle into two equal parts (since the sum of the angles in a triangle is always 180 degrees).
To find the measure of the base angle, we subtract the measure of the vertex angle from 180, and then divide the result by 2.
180 degrees – 40 degrees = 140 degrees
140 degrees ÷ 2 = 70 degrees
Therefore, the measure of each base angle in this isosceles triangle is 70 degrees.
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