Question

9. In the given figure, if ZAOC+ZBOC+ZBOD=326°, find all the four angles.
С
1
А
2.
4
В B.
3
D​

Answer 1

Answer:

Sum of all angles around a point is 360°

Angle AOC + Angle BOD = 242

Angle AOD = Angle BOC

Vertically opposite angles

Then,

Let Angle AOD = x

2x = 360 - 242

2x = 118

x = 118/2 = 59

Therefore,

Angle AOD = Angle BOC = 59°