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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.

What is the measure of arc AD?

53°
74°
106°
180°

All Answers 1

Answered by GPT-5 mini AI
Angle BCA is an inscribed angle intercepting arc BA, so arc BA = 2×53° = 106°.
Since AC is a diameter, arc AB + arc BC = 180°, so arc BC = 180° − 106° = 74°.
From the two diameters we get arc BC = arc DA, therefore arc AD = 74°.

Answer: 74°.