In a circle, when you have two diameters, like segments RT and SU, they intersect at the center of the circle, which we’ll call point O. This forms several angles, including angle SRT.
First, let’s note that since RT and SU are both diameters, they divide the circle into four equal parts. This means that each segment of angle SRT is formed by a straight line from point S to point R through the center O. Essentially, the angle SRT consists of two angles that each represent half of their respective arcs.
To determine the measure of angle SRT (denoted as m∠SRT), you can use the property that angles formed by two intersecting lines through the circle’s center are supplementary. Since RT and SU are diameters, the measure of m∠SRT equals 90 degrees, as they intersect perpendicularly due to the symmetrical property of diameters in a circle.
Therefore, the measure of angle SRT is:
m ∠SRT = 90°