geometry

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the measure 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 ° (a Right Angle).

    Or :

    A + B = 90 °


    In this case :

    A = 16 z - 9 °

    B = 4 z + 3 °


    A + B = 90 °

    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

    20 z / 20 = 96 ° / 20

    z = 4.8 ° = 4 ° 48 ´


    A = 16 z - 9 °

    A = 16 * 4.8 ° - 9 ° =

    76.8 ° - 9 ° =

    67.8 ° = 67 ° 48 ´


    B = 4 z + 3 ° =

    4 * 4.8 ° + 3 ° =

    19.2 ° + 3 ° = 22.2 ° = 22 ° 12 ´


    Solution :

    A = 67.8 ° = 67 ° 48 ´

    B = 22.2 ° = 22 ° 12 ´

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