Question

А D O С B 19. In the given figure, straight lines AB and CD intersect at O. If ZAOC + ZBOD = 130° then ZAOD = ? (a) 65° (b) 115° (c) 110° (d) 125​

Answer 1

Answer:

From the figure we know that ∠AOC and∠AOD from a linear pair

It can also be written as

∠AOC+∠AOD=180

o

By substituting the values

50

o

+∠AOD=180

o

∠AOD=180

o

−50

o

∠AOD=130

o

According to the figure we know that ∠AOD and ∠BOC are vertically opposite angles

So we get

∠AOD=∠BOC=180

o

According to the figure we know that ∠AOC and ∠BOD are vertically opposite angles

So we get

∠AOC+∠BOD=50

o