ATIC is an isosceles triangle with vertex angle Find the measures of the base angles of ATIC if m angle l=100^ (1 point) 80 50 60 40
Since ATIC is an isosceles triangle, it means that the base angles are congruent. Let's call the measures of the base angles x. So, the vertex angle is also x.
According to the given information, the measure of angle l is 100°. Notice that angle l is the sum of the vertex angle and one of the base angles. Therefore, we can set up the following equation:
x + x = 100
Simplifying, we have:
2x = 100
x = 100/2
x = 50
So, the measures of the base angles of ATIC are 50° each.