SAT Math · Topic 4.2

Lines, Angles, and Triangles Practice

Part of Geometry and Trigonometry.

Practice questions

111

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Sample questions

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  1. Sample 1difficulty 2/5

    Two angles are supplementary. If one angle measures 112°112°, what is the measure of the other angle?

    • A

      68°68°

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    • B

      88°88°

    • C

      22°22°

    • D

      78°78°

    Why

    Supplementary angles sum to 180°180°. So the other angle is 180°112°=68°180° - 112° = 68°.

  2. Sample 2difficulty 2/5

    What is the sum of the interior angles of a pentagon?

    • A

      720°720°

    • B

      540°540°

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    • C

      360°360°

    • D

      900°900°

    Why

    180(52)=540°180(5-2)=540°.

  3. Sample 3difficulty 2/5

    Adjacent angles of a parallelogram are supplementary. If one is 70°70°, what is the other?

    • A

      70°70°

    • B

      110°110°

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    • C

      20°20°

    • D

      90°90°

    Why

    18070=110°180-70=110°.

  4. Sample 4difficulty 2/5

    Two angles form a linear pair (lie on a straight line). If one angle is 5x5x and the other is 4x4x, what is the value of xx?

    • A

      10

    • B

      18

    • C

      20

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    • D

      9

    Why

    A linear pair sums to 180°180°. So 5x+4x=180°5x + 4x = 180°, giving 9x=180°9x = 180°, so x=20x = 20.

  5. Sample 5difficulty 2/5

    A triangle has base 10 and height 6. What is its area?

    • A

      16

    • B

      30π

    • C

      30

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    • D

      60

    Why

    Area =frac12cdottextbasecdottextheight=frac12(10)(6)=30= \\frac{1}{2} \\cdot \\text{base} \\cdot \\text{height} = \\frac{1}{2}(10)(6) = 30.