angle TTC is an Isosceles triangle with a vertex angle /. If the measure of angle f = 90 deg then find the measure of angle T
(1 point)
A.15"
B. 45
C. 90°
D.30
Since angle TTC is an isosceles triangle with a vertex angle at /, this means that angle T and angle C are congruent. Additionally, angle f is a 90-degree angle.
The sum of the angles in a triangle is 180 degrees. Therefore, we can set up the following equation:
angle T + angle T + 90 = 180
Simplifying this equation, we get:
2 * angle T + 90 = 180
Subtracting 90 from both sides, we have:
2 * angle T = 90
Dividing both sides by 2, we find:
angle T = 45 degrees.
Therefore, the measure of angle T is 45 degrees.
The answer is B. 45
Since angle TTC is an isosceles triangle with a vertex angle at T, this means that the other two angles, T and C, are congruent.
We are told that the measure of angle f is 90°. This angle is adjacent to angle T in the triangle.
In a triangle, the sum of the measures of the angles is 180°. Therefore we can write the equation:
angle T + angle T + angle C = 180°
Since angles T and C are congruent, we can write it as:
2T + C = 180°
We are also given that angle f is 90°, and since angle T and angle f are adjacent in the triangle, we have:
angle f + angle T + angle C = 180°
Substituting in the given values, we get:
90° + T + C = 180°
Now we can substitute the equation we derived earlier for C:
90° + T + (2T) = 180°
Simplifying the equation:
3T + 90° = 180°
3T = 90°
T = 30°
Therefore, the measure of angle T is 30°.
The correct answer is D. 30