The angles ∠CFE and ∠AFB are vertically opposite angles. Then the value of x will be 6.
What is an angle?
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
We know that the angle ∠DFE is 90°.
Then the sum of the angle ∠CFD and ∠DFE will be
∠CFD + ∠DFE = 27° + 90°
∠CFD + ∠DFE = 117°
Then the angles ∠CFE and ∠AFB are vertically opposite angles. Then we have
∠CFD = ∠DFE
Put the values
21x - 9 = 117
21x = 126
x = 6
More about the angled link is given below.
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