TLC is and Isosceles triangle with a vertex angle L. If the measure of <L= 90°, find the measure of <T
(1 point)
• 30°
• 45°
O 15°
• 90°
Since TLC is an isosceles triangle, this means that the base angles are congruent.
In a triangle, the sum of the angles is 180°.
Since the vertex angle L is 90°, and we know that the base angles are congruent, this means that the sum of the base angles is also 90°.
Let x be the measure of each base angle.
We can set up the equation:
x + x + 90° = 180° (the sum of the angles in a triangle)
2x + 90° = 180°
2x = 180° - 90°
2x = 90°
x = 90°/2
x = 45°
So each base angle measures 45°.
Therefore, the measure of angle T is equal to each base angle, which is 45°.
The correct answer is:
• 45°