TLC is and Isosceles triangle with a vertex angle L. If the measure of ∠L=90°, find the measure of ∠T. (1 point)
15°
30°
45°
90°
Since TLC is a right triangle with a vertex angle of 90°, the sum of the measures of the three angles in the triangle is 180°.
Let's assume the measure of ∠T to be x°. Then, the measure of ∠C would also be x°.
Therefore, the sum of the angles T, L, and C is 90° + x° + x°.
According to the problem, the sum of these three angles is 180°.
So, 90° + x° + x° = 180°.
Combine like terms: 90° + 2x° = 180°.
Subtract 90° from both sides: 2x° = 90°.
Divide both sides by 2: x° = 45°.
Therefore, the measure of ∠T is 45°. Answer: 45°.