Lines, Angles, and Triangles

SAT Math· difficulty 3/5

In triangle ABC, angle A is twice angle B, and angle C is three times angle B. What is the measure of angle B?

  • A

    45°45°

  • B

    36°36°

  • C

    60°60°

  • D

    30°30°

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Explanation

A + B + C = 180°. Substituting: 2B+B+3B=180°2B + B + 3B = 180°, so 6B=180°6B = 180°, giving B=30°B = 30°.

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