Quadrilateral ABCD is cyclic, ∠A = 70°, ∠C = 110°, and the diagonals intersect at point E. What is the value of ∠B + ∠D?
Show answer & explanation
Correct answer: B
Explanation
In a cyclic quadrilateral, the sum of opposite angles is 180°.
∠A + ∠C = 180° (70° + 110° = 180°)
Similarly,
∠B + ∠D = 180°