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Geometry and Trigonometry / Lines, angles, and triangles Difficulty: Easy

In the figure, line $j$ is parallel to line $k$ . What is the value of $x$ ?

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Explanation

The correct answer is $47$ . Based on the figure, the angle with measure $x °$ and the angle with measure $133 degree$ together form a straight line. Therefore, these two angles are supplementary, so the sum of their measures is $180 degree$ . It follows that $x + 133 = 180$ . Subtracting $133$ from both sides of this equation yields $x equals 47$ .