Question

question 2 of 10
what is the measure of overarc{xy}?
a. 53°
b. 127°
c. 90°
d. 37°

Explanation:

Step1: Recall the sum of angles in a circle

The sum of angles around a point in a circle is \(360^{\circ}\).

Step2: Set up the equation

Let the measure of \(\overarc{XY}\) be \(x\). We know that \(90^{\circ}+90^{\circ}+127^{\circ}+x = 360^{\circ}\).

Step3: Solve for \(x\)

First, simplify the left - hand side: \(307^{\circ}+x=360^{\circ}\). Then, \(x = 360^{\circ}-307^{\circ}=53^{\circ}\).

Answer:

A. \(53^{\circ}\)