ΔTIC is an isosceles triangle with vertex angle I. Find the measures of the base angles of ΔTIC if m∠I = 100º. (1 point) Responses 80° 80° 50° 50° 60° 60° 40°

1 answer

Since ΔTIC is an isosceles triangle, the base angles are congruent. Let's call the measure of each base angle x. We know that the sum of the angles in a triangle is 180 degrees, so we can set up the equation:

x + x + 100 = 180

Combining like terms, we have:

2x + 100 = 180

Subtracting 100 from both sides, we get:

2x = 80

Dividing both sides by 2, we get:

x = 40

Therefore, the measures of the base angles of ΔTIC are 40 degrees each. So, the correct answer is 40° 40°.