Question

A circle is shown. Angle Q R S is 84 degrees.

What is the measure of Arc Q S?

°

Answer 1

In the given diagram, the measure of arc QS is 168°

Calculating measure of an arc

From the question, we are to determine the measure of arc QS

The measure of the arc is the angle subtended by the arc at the center of the circle.

From one of the circle theorems, we have that

The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference

In the given diagram,

The angle subtended by arc at the circumference of the circle = 84°

∴ The angle subtended by the arc QS at the center = 2 × 84°

The angle subtended by the arc QS at the center = 168°

Hence, in the given diagram, the measure of arc QS is 168°

Learn more on Calculating measure of an arc here: https://brainly.com/question/19529058

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