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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. A ray divides a straight angle into two angles, one of which is 5 times the other. What is the larger angle?

    Answer: 150°

    x + 5x = 180° → x = 30°; larger = 5 × 30° = 150°.

  2. Parallel lines are cut by a transversal. One co-interior angle is 73°. What is the other?

    Answer: 107°

    Co-interior angles are supplementary: 180° − 73° = 107°.

  3. Triangle GHI ~ Triangle JKL. GH = 10, HI = 14, JK = 5. What is KL?

    Answer: 7

    Scale factor = GH/JK = 10/5 = 2; KL = 14/2 = 7.

  4. The interior angles of triangle are (x + 10)°, (2x − 10)°, and (3x − 60)°. What is x?

    Answer: 40

    (x+10)+(2x−10)+(3x−60)=180 → 6x−60=180 → x=40. Check: 50°+70°+60°=180°. ✓

  5. Two parallel lines are cut by a transversal. Alternate interior angles are (6x + 3)° and (8x − 15)°. What is x?

    Answer: 9

    6x + 3 = 8x − 15 → 18 = 2x → x = 9.

  6. A triangle's angles are in ratio 1:2:3. What type of triangle is it?

    Answer: Right

    k+2k+3k=180° → k=30°; angles are 30°, 60°, 90° — a right triangle.

  7. An exterior angle of a triangle is (9x − 3)°. The two remote interior angles are (4x + 7)° and (3x + 14)°. What is x?

    Answer: 12

    9x − 3 = (4x+7)+(3x+14) → 9x−3 = 7x+21 → 2x=24 → x=12. Check: 9(12)−3=105; 4(12)+7+3(12)+14=55+50=105. ✓