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Geometry

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the measures of two complementary angles are 16z-9 and 4z+3. Find the measures of the angles.

  • Geometry -

    Two Angles are Complementary if they add up to 90 °

    In this case :

    16 z - 9 ° + 4 z + 3 ° = 90 °

    20 z - 6 ° = 90 ° Add 6 ° to both sides

    20 z - 6 ° + 6 ° = 90 ° + 6 °

    20 z = 96 ° Divide both sides by 20

    z = 96 ° / 20 = 4.8 ° = 4 ° 48 ´



    16 z - 9 ° = 16 * 4.8 ° - 9 ° = 76.8 ° - 9 ° = 67.8 ° = 67 ° 48 ´


    4 z + 3 ° = 4 * 4.8 ° + 3 ° = 19.2 ° + 3 ° = 22. 2 ° = 22 ° 12 ´

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