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
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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
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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.