ΔTIC is an isosceles triangle with vertex angle I. If the measure of angle I equals 70 degrees , then find the m∠T. (Hint: Draw and label the triangle) * 1 point

70º

110º

55º

20º

1 answer

Since triangle ΔTIC is an isosceles triangle, the base angles are equal. Therefore, the measure of angle T is equal to the measure of angle C.

Since the sum of the angles in a triangle is 180 degrees, we can calculate using the given information:

70 degrees (angle I) + 2x (angle T + angle C) = 180 degrees
70 degrees + 2x = 180 degrees
2x = 180 degrees - 70 degrees
2x = 110 degrees
x = 55 degrees

Therefore, the measure of angle T is 55 degrees.

Answer: 55º