Mathematics · Geometry
ABCD is a cyclic quadrilateral in which BD is a diagonal. If angle BAD = 35° and angle BCD = 145°, and AD is a diameter of the circumcircle such that angle ABD = 90°. Let us consider a cyclic quadrilateral ABCD where angle BAD = 35° and angle BCD = 185° - 120° = 65° (assuming a standard cyclic quadrilateral where opposite angles sum to 180°, so angle BCD = 180° - 35° = 145°). In a circle, if AD is the diameter, then angle ABD = 90°. If angle BDA = 55°, what is the value of angle ABD?
- 190 degrees✓
- 260 degrees
- 355 degrees
- 435 degrees
Correct answer
90 degrees
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