The computation of triangle ABC and ACD which are both isosceles shows that the value of x will be 36°.
It should be noted that the sum of angles in a triangle is 180°. In this situation two of the three angles have been given.
Therefore, the value of the third angle will be:
86° + 58° + x = 180°
144° + x = 180°
x = 180° - 144°
x = 36°
In conclusion, x is 36°.
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