The measure of the vertex angle of an isosceles triangle is 98 degrees What is the measure of a base angle
180-98=82
82/2
=41
In an isosceles triangle, the base angles are congruent. So, to find the measure of a base angle, we can subtract the measure of the vertex angle from 180 degrees (sum of the interior angles of a triangle).
Let's calculate:
180 degrees - 98 degrees = 82 degrees
Therefore, the measure of each base angle in the isosceles triangle is 82 degrees.
To find the measure of a base angle in an isosceles triangle, you need to use the property that the base angles in an isosceles triangle are congruent, meaning they have the same measure.
Let's denote the measure of each base angle as x. Since the vertex angle is 98 degrees, we can write the following equation:
x + x + 98 = 180
Simplifying this equation, we have:
2x + 98 = 180
Subtracting 98 from both sides:
2x = 180 - 98
2x = 82
Dividing both sides by 2:
x = 82 / 2
x = 41
Therefore, each base angle in the isosceles triangle measures 41 degrees.