Question

ABCD is a trapezium with AB parallel DC. The bisectors of angle B and angle C is O. find the angle BOC ​

Answer 1

Answer:

90°

Step-by-step explanation:

Answer 2

Answer:

90°

Step-by-step explanation:

ABCD is a trapezium.

So AB is parallel to CD.

So angle B + angle C = 180° ( cointerior )

1/2 angle B + 1/2 angle C = 1/2(180)

angle OBC + angle OCB = 90°

So by angle sum property of a triangle,

angle BOC = 90°