Question

AB, CD, and EF are straight lines intersecting at point O. Find x.

Answer 1

Answer:

30

Firstly, identify all the pairs of vertically opposite angles. Vertically opposite angles are equal.

In this case,

AOC & DOB are vertically opposite angles so both of them are 2x°

EOD & COF are vertically opposite angles so they are both 3x°.

FOB & EOA are vertically opposite angles so they are both x°.

Adding the values of all 6 angles, we get:

3x + 3x + 2x + 2x + x + x = 12x

We also know that

12x = 360°

x = 30°