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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

Two lines intersect at point P. The four angles formed are in the ratio 1:5:1:51:5:1:5. What is the measure of the smallest angle?

  • A

    45°45°

  • B

    60°60°

  • C

    15°15°

  • D

    30°30°

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Explanation

The four angles around a point sum to 360°360°: 1k+5k+1k+5k=12k=360°1k + 5k + 1k + 5k = 12k = 360°, so k=30°k = 30°. The smallest is 30°30°.

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