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Lines, angles, and triangles SAT question

Math · Geometry and Trigonometry · Easy · Answer it here, explanation included.

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

Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.

ExplanationShow

The correct answer is $47$ . Based on the figure, the angle with measure $x^{\circ}$ and the angle with measure $13 3^{\circ}$ together form a straight line. Therefore, these two angles are supplementary, so the sum of their measures is $18 0^{\circ}$ . It follows that $x + 133 = 180$ . Subtracting $133$ from both sides of this equation yields $x = 47$ .

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