Question

the bisectors of angle A and Angle B of a quadrilateral ABCD meet at a point to go if Angle B and angle D are 120 degree and 80 degree respectively find the measure of angle AOB​

Answer 1

Answer:

AOB= 80°

Step-by-step explanation:

angle B =120°(given)

angle D =80° (given)

angle OBA=60°(because angle OBA is a bisector of angle B)

angle BDA=40°( " " BDA " " "

" " D)

angle BAD = 180° - angle BOA -angle BDA

= 180° -60°-40°

= 80°

angle BAO = 40° (because angle BAO is a bisector of angle BAD)

angle BOA = 180°-angle BAO-angle OBA

= 180° -40°-60°

=80° Ans.