Question

Given that AB , CD, EF are straight lines find the value of x

Answer 1

the answer would be X=20⁰

Answer 2

x = 20

Explanation:

Given:

AB , CD, EF are straight lines

To Find:

Find the value of x

Solve:

Let the point of intersection of the lines AB, CD and EF be O.

Therefore, {Opposite angles }

∠
`AOE=` ∠
`BOF=3x^o`

∠
`COF=` ∠
`EOD=4x^o`

∠
`BOD=` ∠
`AOC=2x^o`

Note:

Sum of all angles = 360 degree

Since we know that sum of all angles equals to 360 degree.

Hence,

`2(2x ^o )+2(4x ^o )+2(3x ^o )=360 ^o` {Simplify}

`18x^o=360^o` {Divide each side by 18}

`x=20`

So the value of x equal 20

Kavinsky~