Question

Find x in the figure​

Answer 1

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Answer 2

Step-by-step explanation:

To find x lets find the remaining angles first.

Let the centre be O.

the remaining angles be COD, EOF, AOB.

∠COD= ∠FOA i.e 2x (Vertically Opp ∠s)

∠AOB= ∠DOEi.e 6x (Vertically Opp ∠s)

∠EOF= ∠BOCi.e 4x (Vertically Opp ∠s)

Now lets add all the angles,

To find angles we must find the value of x,

heres how we find x.

∠AOB+∠BOC+∠COD+∠DOE+∠EOF+∠FOA= 360°

6x+4x+2x+6x+4x+2x= 360°

2( 6x+ 4x+ 2x )=360°

2(12x) =360°

12x= $\frac{360}{2\\}$

12x= 180

x= $\frac{180}{12\\}$

x= 15

now that we have found x, lets find all the angles,

∠COD= ∠FOA= 2x = 2×15=30°

∠AOB= ∠DOE=6x= 6×15= 90°

∠EOF= ∠BOC=4x= 4×15=60°

                                              HOPE IT HELPS!