Question

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

Answer 1

Answer:

x = 20

Step-by-step 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~

Answer 2

Answer:

the answer would be X=20⁰