Question

ABCD is a quadrilateral.AO and BO are the angle bisector s of angle A and B which meet at O. If angle C=70°,angle D=50°find angle AOB

Answer 1

the angle AOB is equals to 120degree

Answer 2

angle C=angle A

because opposite sides of a quadrilateral are equal

So angle A =70 degree

and angle D=angle B=50 degree

AO bisects angle C

and DO bisects angle B

so,

In triangle BOC

Angle B= 25 degree and angle C= 35 degree

then angle O = ?

so angle B + angle C + angle O = 180degree

35+25+angle O = 180

angle O= 180-60

Angle O=120 degree