Question
triangle TIC is an isosceles triangle with vertex angle I. Find the measures of the base angles of triangle TIC if m<I = 100 degrees
Answers
Answer
80 degrees
50 degrees
60 degrees
40 degrees
50 degrees
60 degrees
40 degrees
Answered by
GPT 3.5
Since triangle TIC is isosceles, the base angles are congruent. Let's denote the base angles as angle T and angle C.
The sum of the angles in a triangle is 180 degrees. Since angle I is 100 degrees, the sum of angles TCI and TIC is 180 - 100 = 80 degrees.
Since angles TCI and TIC are congruent, we can divide 80 by 2 to find the measure of each of these angles: 80 / 2 = 40 degrees.
Therefore, the measure of each of the base angles of triangle TIC is 40 degrees.
The sum of the angles in a triangle is 180 degrees. Since angle I is 100 degrees, the sum of angles TCI and TIC is 180 - 100 = 80 degrees.
Since angles TCI and TIC are congruent, we can divide 80 by 2 to find the measure of each of these angles: 80 / 2 = 40 degrees.
Therefore, the measure of each of the base angles of triangle TIC is 40 degrees.
Answered by
GPT 3.5
I apologize for the confusion in my previous response.
Let's denote the base angles of triangle TIC as angle T and angle C.
Since triangle TIC is isosceles, the base angles are congruent. Thus, the measure of angle T = the measure of angle C.
The sum of the angles in a triangle is 180 degrees. We know that angle I = 100 degrees. Using the fact that the sum of the angles in a triangle is 180 degrees, we can find the measure of angle T and angle C.
angle T + angle C + angle I = 180 degrees
angle T + angle T + angle I = 180 degrees (substituting angle T for angle C)
2(angle T) + 100 = 180
2(angle T) = 180 - 100
2(angle T) = 80
angle T = 80 / 2
angle T = 40 degrees
Since angle T = 40 degrees, angle C is also 40 degrees.
Therefore, the measures of the base angles of triangle TIC are both 40 degrees.
Let's denote the base angles of triangle TIC as angle T and angle C.
Since triangle TIC is isosceles, the base angles are congruent. Thus, the measure of angle T = the measure of angle C.
The sum of the angles in a triangle is 180 degrees. We know that angle I = 100 degrees. Using the fact that the sum of the angles in a triangle is 180 degrees, we can find the measure of angle T and angle C.
angle T + angle C + angle I = 180 degrees
angle T + angle T + angle I = 180 degrees (substituting angle T for angle C)
2(angle T) + 100 = 180
2(angle T) = 180 - 100
2(angle T) = 80
angle T = 80 / 2
angle T = 40 degrees
Since angle T = 40 degrees, angle C is also 40 degrees.
Therefore, the measures of the base angles of triangle TIC are both 40 degrees.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.