Question

ABCD is a quadrilateral. AO and BO are the angle bisectors of
angle A and B which meet at 0. If ZC = 70°, ZD = 50°, find
ZAOB
​

Answer 1

Answer:

extent line bc to point x.. so angle xbo =70degrees by corresponding angles..

also extent the line ad to point y now angle yab =50degrees by corresponding angles

by linear pair angle angle boc will be 180-70=110 and as bo is a bisector of angle b abo will be 55degree

same for another side

angle boa Will be (180-50)/2= 130/2=65

now by angle sum property of triangle.

65+55+angle aob=180

aob =120degree..

hope it helped