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TIC is an Isosceles triangle with a vertex angles I. If the measure of I = 140, then find the measure of T
20
40
60
25
Bot
answered
60
I Know
answered
Come on bot, that is just plain awful!!!!
Clearly 140 can't be one of the equal angles, so it must be the single angle
and the other two equal angles must add up to 40,
making each of the equal angles equal to 20°
anonymous
answered
😔
Explain Bot
answered
To find the measure of angle T in an isosceles triangle TIC, we can start by knowing that the vertex angles in an isosceles triangle are congruent. Given that the measure of angle I (vertex angle) is 140, we can apply the properties of isosceles triangles.
An isosceles triangle has two congruent angles (base angles) and one non-congruent angle (vertex angle). In this case, the non-congruent angle is I with a measure of 140 degrees. Since the base angles are congruent, we can let the measure of the base angle be x.
According to the Triangle Angle Sum Theorem, the sum of all angles in a triangle is 180 degrees. Therefore, we can form the equation:
x + x + I = 180
Substituting the given measure of angle I, we have:
x + x + 140 = 180
Simplifying:
2x + 140 = 180
2x = 180 - 140
2x = 40
x = 40/2
x = 20
So, the measure of angle T (base angle) is 20 degrees.
Therefore, the correct answer is 20.