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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. Angle A and angle B are supplementary. Angle A is 4 times angle B. What is angle A?

    Answer: 144°

    A + B = 180° and A = 4B → 4B + B = 180° → B = 36°; A = 144°.

  2. Triangle ABC has angle A = 50° and the exterior angle at B is 110°. What is angle C?

    Answer: 60°

    Exterior angle = sum of remote interior angles: 110° = 50° + C → C = 60°.

  3. A transversal makes a 55° angle with parallel line p. What is the size of the co-interior angle on parallel line q on the same side?

    Answer: 125°

    Co-interior angles are supplementary: 180° − 55° = 125°.

  4. In a triangle, two sides are 9 cm and 13 cm. Which of the following CANNOT be the third side?

    Answer: 22 cm

    Triangle inequality: third side must be less than 9+13=22 and more than 13−9=4; 22 ≥ 22, which fails strict inequality.

  5. In similar triangles KLM and NOP, angle K = 48° and angle L = 77°. What is angle O?

    Answer: 77°

    Similar triangles have equal corresponding angles; angle O corresponds to angle L = 77°.

  6. A straight line AB has point C on it such that angle ACD = 125°. What is angle BCD?

    Answer: 55°

    Angles ACD and BCD are a linear pair: angle BCD = 180° − 125° = 55°.

  7. Parallel lines j and k are cut by transversal t. The alternate interior angles are (9x − 3)° and (7x + 11)°. What is x?

    Answer: 7

    Alternate interior angles are equal: 9x − 3 = 7x + 11 → 2x = 14 → x = 7.