In a quadrilateral ABCD, the bisectors of ∠C and ∠D meet at E. If ∠CED = 56° and ∠A = 49°, then the measure of ∠B is?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 63°
(∠D/2) + (∠C/2) = 180° - 56°
⇒ ∠D + ∠C = 124° × 2
⇒ ∠D + ∠C = 248°
Hence,
∠B = 360° - (248° + 49°) = 63°