If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that ∠C+∠D=k∠AOB, then find the value of k.
Given ,
ABCD is a quadrilateral
∠C+∠D = k ∠AOB
∵∠D+∠C = k
= ∠A+∠B = 360°- k
= ∠OAB+∠OBA = 
= 
11
If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that ∠C+∠D=k∠AOB, then find the value of k.
Given ,
ABCD is a quadrilateral
∠C+∠D = k ∠AOB
∵∠D+∠C = k
= ∠A+∠B = 360°- k
= ∠OAB+∠OBA =
=