ABCD is a cyclic quadrilateral and BC is the diameter of the circle. If ∠DBC = 29º, then ∠BAD = ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 119º
One knows that the angle in a semicircle is equal to 90°.
∠BDC = 90°.
∠BCD = 180 - 90 -29 = 61°.
The sum of the opposite angle in a cyclic quadrilateral is 180 °
∠BAD + ∠BCD =180°
∠BAD = 180 - 61 = 119°.