The value of x in the diagram is : 75°
what is an isosceles triangle?
An isosceles triangle is a type of triangle with base angles equal and opposite sides equal.
Analysis:
Since GF = EF
∠FGE = ∠FEG = (x - 18)°( base angles of an isosceles triangle are equal)
∠FGE + ∠FEG + ∠GFE = 180°( sum of angles in a triangle)
(x - 18)° + (x-18)° + 66 = 180
2x -36 + 66 = 180°
2x + 30 = 150
2x = 180 - 30
2x = 150°
x = 150/2 = 75°
In conclusion, the value of x in the diagram is 75°
Learn more about isosceles triangle : brainly.com/question/1475130
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