Question

In circle E, and are diameters. Angle BCA measures 53°. What is the measure of arc AD? °

Answer 1

In attachment , you can see daigram of your question.
Here , BD and AC are diameters of circle of centre E .
BE = CE = radius
so, ∠BCE = ∠CBE = 53° [ as shown in figure ]
So, ∠BED = 180° - (∠BCE + ∠CBE) = 180° - (53° + 53°)
= 180° - 106° = 74°
Now, angle subtended by arc AD = ∠AED = ∠BED = 74°

Hence, angle subtended by arc AD = 74°

Answer 2

The correct answer is:

74°

The measure of arc AD is 74°.

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