Question

lines AB and CD intersect at point O . if angle AOD : angle BOD = 4:5 . find all the angle ​

Answer 1

If <AOD: <BOD = 4:5,

Let <AOD and <BOD be 4x and 5x

4x+5x=180 (linear pair)

9x=180°

x=180÷9

x=20

So, <AOD = 4x = 4×20 =80°

<BOD = 5x = 5×20 =100°

To find <COB,

<COB+<DOB=180° (linear pair)

<COB+100=180°

<COB=180-100

<COB=80°

To find <AOC,

<AOC+<COB=180° (linear pair)

<AOC+80=180°

<AOC=180-80

<AOC=100°

Answer 2

Answer:

answer is equal to angle AOC is equal to 55 degree angle C is equal to 105 degree angle is equal to 105 degree angle b o f is equal to 20 degree