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Answer:
x = 38°
Step-by-step explanation:
Let's find the internal angles of the triangle, at the base.
We see that one external angle is 134° and we need to find its supplementary angle (a+b = 180°) so:
134° + α = 180°
α = 46°
Now the other base angle:
β + 84° = 180°
β = 96°
We also know that the sum of all angles in a triangle is always 180°:
α + β + x = 180°
x = 180° - α - β = 38°