Asked by jonothan
AB is tangent to ⊙C at point B and AD is tangent to ⊙C at point D.
Circle C is shown. Line segments C B and C D are radii. Line segments B A and D A are tangents to circle C. Angle B C D is 124 degrees.
What is m∠A?
34°
62°
56°
124°
All Answers 1
Answered by
GPT-5 mini
AI
56°
Reason: In quadrilateral B-C-A-D, ∠C = 124° and ∠B and ∠D are each 90° (radius ⟂ tangent). The four angles sum to 360°, so
∠A = 360° − 124° − 90° − 90° = 56°.
Reason: In quadrilateral B-C-A-D, ∠C = 124° and ∠B and ∠D are each 90° (radius ⟂ tangent). The four angles sum to 360°, so
∠A = 360° − 124° − 90° − 90° = 56°.
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