Question

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

Answer 1

Step-by-step explanation:

Consider ∠AOC as 5x and ∠AOD as 7x

from the figure we know that ∠AOC and ∠AOD for linear pair of angle

so it can be written as

∠AOC+∠AOD=180

o

by substituting the values

5x+7x=180

o

x=180/12

x=15

o

by susbtituting the value of x

∠AOC=5x

so we get

∠AOC=5(15)=75

o

∠AOD=7x

so we get

∠AOD=7(15)=105

o

from the figure we know that ∠AOC and ∠BOD are vertical angles

so we get

∠AOC=∠BOD=75

o

from the figures we know that ∠AOD and ∠BOC are vertical angles

so we get

∠AOD=∠BOC=105

o