Question

in the given figure two straight lines ab and CD intersect at a point O . if angle BOD =40 degree, find the measure of each of the angles, angle BOC , angle AOC and angle AOD​

Answer 1

Answer:

Angle AOC =40°

Angle BOC = 140°

Angle AOD = 140°

Step-by-step explanation:

Angle BOD = 40°

Angle AOC = Angle BOD = 40° ( vertically opposite angles )

Angle AOC = 40°

Angle BOD + Angle AOD = 180° ( linear pair)

Angle AOD = 180° - 40°

Angle AOD = 140°

Angle BOC = Angle AOD =140°(vertically opposite angles)

Angle AOD = 140°