#25 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)

Question

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1 point
70º
110º
55º
20º

Answer 1

The correct answer is:

110º

Since ΔTIC is an isosceles triangle, this means that angle T and angle C must be congruent. Since the sum of all angles in a triangle is 180 degrees, and angle I is 70 degrees, we can find the measure of angles T and C as follows:

T + C + I = 180
T + T + 70 = 180
2T + 70 = 180
2T = 110
T = 55

Therefore, the measure of angle T is 55 degrees. Since angle T and angle C are congruent, the measure of angle T is also 55 degrees.