ATLC is and Isosceles triangle with a vertex angle L. If the measure of LL = 90°, find the measure of LT.

30

45

15

90

Since ATLC is an isosceles triangle, we know that the base angles are congruent. The measure of angle L is 90°. Since the sum of the angles in a triangle is 180°, the sum of the base angles of ATLC is 180° - 90° = 90°. Since the base angles are congruent, each base angle measures 90°/2 = 45°. Therefore, the measure of angle LT is 45°.

So the answer is 45.