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Step2247 [10]
2 years ago
13

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

Mathematics
2 answers:
lys-0071 [83]2 years ago
8 0

Answer:

x = 20

Step-by-step explanation:

<u><em>Given:</em></u>

<em>AB , CD, EF are straight lines</em>

<u><em>To Find:</em></u>

<em>Find the value of x</em>

<u><em>Solve:</em></u>

<em>Let the point of intersection of the lines AB, CD and EF  be O.</em>

<em>Therefore,     {Opposite angles }</em>

<em>∠ </em>AOE= ∠ BOF=3x^o

<em>∠</em>COF= <em>∠ </em>EOD=4x^o

<em>∠</em>BOD= <em>∠ </em>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

<u><em>Kavinsky~</em></u>

ioda2 years ago
7 0

Answer:

the answer would be X=20⁰

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Step-by-step explanation:

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