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Question

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Explanation:

Step1: Use the property of exterior angles of a triangle

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Let's assume the vertical line is a straight line (angle \(180^{\circ}\)). The exterior angle formed by the intersection of the lines is \(x + 30^{\circ}\).
The two non - adjacent interior angles of the triangle are \(39^{\circ}\) and \(40^{\circ}\).
So, \(x+30^{\circ}=39^{\circ}+40^{\circ}\)

Step2: Solve for \(x\)

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Answer:

\(49\)