ln a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of ∠D and ∠C, respectively. If ∠B = 82° and ∠DEC = 80°, then ∠A = ?

Answer: Option D

Solution

Answer: Option D

Solution:

α + β = 100°
2(α + β) = 200°
360° = 282° + ∠A
∠A = 78°