Question

Line segment SU is a diameter of circle V.

What is the measure of arc ST?

56°
68°
112°
163°

Answer 1

Based on the figure given:

Angle S is equal to 34 degrees.

The triangle is inscribed in a circle, we can assume that the triangle is a right triangle.

Thus, the measure of angle U is

180 - 90 - 34 = 56 degrees.

This is equivalent to the measure of the arc opposite the angle. Therefore, the measure of arc ST is also 56 degrees.