Question

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Explanation:

Step1: Use the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
So, \(94^{\circ}=60^{\circ}+2x^{\circ}\)

Step2: Solve the equation for \(x\)

Subtract \(60^{\circ}\) from both sides of the equation:
\(2x = 94 - 60\)
\(2x=34\)
Divide both sides by \(2\): \(x = 17\)

Answer:

\(x = 17\)