Question

Now
12. Two lines AB and CD intersect each other at a
point o such that ZAOC : AOD=5:7. Find all
the angles.​

Answer 1

let common ratio is x

so AOC:AOD = 5:7 = 5x,7x

so 5x + 7x = 180 (adjacent angle)

12x = 180

x = 180

12

x = 15

so 5x = 5X15 = 75

7x = 7X15 = 105

AOD = BOC = 105 (vertically opposite angle)

AOC = COB = 75 (vertically opposite angle)

here is your answer