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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.

Read the first 7 Lines, Angles, and Triangles flashcards as text
  1. A transversal intersects two parallel lines. The co-interior angles are (3x + 10)° and (2x + 30)°. What is x?

    Answer: 28

    (3x+10)+(2x+30)=180 → 5x+40=180 → x=28.

  2. The angles of a triangle are in the ratio 2:3:7. What is the measure of the largest angle?

    Answer: 105°

    2k+3k+7k=180° → k=15°; largest = 7×15° = 105°.

  3. An exterior angle of a triangle is 140°. One remote interior angle is 80°. What is the other?

    Answer: 60°

    80° + x = 140° → x = 60°.

  4. Two lines intersect. Vertical angles are (5x − 10)° and (3x + 30)°. What is x?

    Answer: 20

    5x − 10 = 3x + 30 → 2x = 40 → x = 20.

  5. An isosceles triangle has base angles of 65° each. What is the vertex angle?

    Answer: 50°

    Vertex angle = 180° − 65° − 65° = 50°.

  6. Parallel lines p and q are cut by a transversal. Alternate interior angles are (4y − 5)° and (2y + 35)°. What is y?

    Answer: 20

    4y − 5 = 2y + 35 → 2y = 40 → y = 20.

  7. Triangle ABC has AB = 5, BC = 5, AC = 8. Which best describes the triangle?

    Answer: Isosceles

    Two sides are equal (AB = BC = 5), so the triangle is isosceles.