Question

What is the measure of arc AD?

In circle E, and are diameters. Angle BCA measures 53°.

Circle E is shown. Line segments A C and B D are diameters. Lines are drawn to connect points B and C and points A and D. Angle B C A is 53 degrees.

53°
74°
106°
180°

Answer 1

Answer: Since line segments AC and BD are diameters of circle E, angle BCA is a right angle. In a circle, a central angle is equal to the measure of the intercepted arc. Therefore, arc AD is equal to the measure of angle BCA, which is 53 degrees. Thus, the measure of arc AD is 53°.

Explanation: