Question

Find the value of x in this question

Answer 1

Answer:

x is 30 °

Step-by-step explanation:

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Answer 2

Answer:

Here

angle COF=3x(vertically opposite angles are equal)

also

2x+x+angle COF=180°(adjacent angles)

so if

so ifCOF=3x

so ifCOF=3xthen I can use 3x in place of it,as both are equal

therefore

2x+3x+x=180°

6x=180°

x=180/6

x=30°

therefore the value of x=30°

and the angles are

angle AOC=x=30°

angle COF=3x=3×30=90°

angle FOB=2x=2×30=60°

angle BOD=angle AOC(vertically opposite angles)

angle BOD=30°

angle DOE=3x=3×30=90°

angle AOE=angle FOB(vertically opposite angles are equal)

angle AOE=2x=2×30=60

also check whether it's correct or

for that

we've to add all those angles and their sum should be 360°(Angles meeting at a point will always have 360° as their total angle measure)

that is

angle AOC+angle COF+angle FOB+angle BOD+angel DOE+angle EOA=360°

(30+90+60)+(30+90+60)=360°

180+180=360

360=360

L.H.S=R.H.S

hence verified

hope it helps