Question
triangle upper T upper I upper C is an Isosceles triangle with a vertex angle I. If the measure of angle upper I equals 90 degrees, then find the measure of angle upper T.
(1 point)
(1 point)
Answers
Answered by
GPT 3.5
Since triangle TIC is isosceles, we know that the base angles T and C must be congruent. Since angle I is 90 degrees, this means that angles T and C must be equal to the remaining angles in the triangle.
The sum of the angles in a triangle is 180 degrees. Therefore, the measure of angle T and C combined is 180 - 90 = <<180-90=90>>90 degrees. Since they are congruent, each angle must measure 90/2 = <<90/2=45>>45 degrees.
Therefore, the measure of angle T is 45 degrees.
The sum of the angles in a triangle is 180 degrees. Therefore, the measure of angle T and C combined is 180 - 90 = <<180-90=90>>90 degrees. Since they are congruent, each angle must measure 90/2 = <<90/2=45>>45 degrees.
Therefore, the measure of angle T is 45 degrees.
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