Question

find the value of x in the following diagram​

Answer 1

Answer:

In this diagram;

angle between COF=3x

angle between DOB= x+30

angle beteen AOE= x

let,the angle between EOB=x

COF+DOB+EOB=180

(sum of linear angles)

3x+x+30+x=180

5x+30=180

5x=180-30

5x=150

x=150/5

x=30

From this,

angle between AOE and EOB are equal

(vertically opp. angles)

angle between COF=3x

3x=3×30=90

angle between DOB=x+30

x+30=30+30=60

verify;

3x+x+x+30=180

90+30+60=180

180=180

hence solved