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Lines, Angles, and Triangles Flashcards

7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. In triangle ABC, angle A = 2x, angle B = x + 15, angle C = x + 45. What is x?

    Answer: 30

    2x + (x+15) + (x+45) = 180 → 4x + 60 = 180 → x = 30.

  2. Two similar triangles have sides in the ratio 2:5. The shorter triangle has a base of 8 cm. What is the base of the larger triangle?

    Answer: 20 cm

    2/5 = 8/b → b = 40/2 = 20 cm.

  3. Lines m and n are parallel. A transversal makes a 55° angle with m. What is the alternate exterior angle at n?

    Answer: 55°

    Alternate exterior angles formed by parallel lines are equal: 55°.

  4. What is each interior angle of an equilateral triangle?

    Answer: 60°

    Three equal angles sum to 180°; 180° ÷ 3 = 60°.

  5. Two complementary angles are in the ratio 1:4. What is the larger angle?

    Answer: 72°

    x + 4x = 90° → x = 18°; larger angle = 72°.

  6. In a right triangle, one acute angle is 35°. What is the other acute angle?

    Answer: 55°

    Two acute angles sum to 90°; 90° − 35° = 55°.

  7. Triangle PQR ≅ Triangle XYZ. Angle P = 70°, angle Q = 60°. What is angle Z?

    Answer: 50°

    Angle R = 180° − 70° − 60° = 50°; Z corresponds to R, so angle Z = 50°.

Lines, Angles, and Triangles Flashcards — Bluebook SAT Test Study Cards with Answers