Question

"TIC is an Isosceles triangle with a vertex angle 1. If the measure of <1= 90"", then find the

measure of ZT.
a 15°
b 45°
c 90°
d 30°"

Answer 1

TIC is a right isosceles triangle with vertex angle of 90 degrees, so the other two angles are congruent and each measures 45 degrees. Therefore, the measure of angle ZT is also 45 degrees.

Step-by-step explanation:

The subject of the question is mathematics, specifically geometry involving isosceles triangles and angle measurement. Given the information that TIC is an isosceles triangle with a vertex angle of 90°, it is understood that this is a right isosceles triangle. In a right isosceles triangle, the two non-vertex angles are congruent. Since the sum of the angles in any triangle is 180°, the two remaining angles in this triangle must add up to 90° (180° - 90° = 90°). Because the triangle is isosceles, these angles are equal, thus each must be 45°. Therefore, the measure of angle ZT would also be 45°, which corresponds to option (b).