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12 February, 16:02

An angle measures 16° less than the measure of a complementary angle. what is the measure of each angle?

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Answers (2)
  1. 12 February, 16:58
    0
    Make a system of equation

    For an instance, x represents the first angle and y represents the second angle. Make a system of equation for the problem.

    "The first angle measures 16° less than the second angle" could be written

    ⇒ x = y - 16° (first equation)

    The two angles are complementary angles, that means the sum of the two angles is equal to 90° or we could write it as

    ⇒ x + y = 90° (second equation)

    Solve the system of equation

    We work using substitution method, change x with y-16 in the second equation

    x + y = 90°

    y - 16° + y = 90°

    2y - 16° = 90°

    2y = 90° + 16°

    2y = 106°

    y = 106°/2

    y = 53°

    The second angle measurement is 53°

    Substitute 53 to y in either of both equations

    x = y - 16°

    x = 53° - 16°

    x = 37°

    The first angle measurement is 37°
  2. 12 February, 19:07
    0
    = 90°/2

    = 45°

    x = 45° - 16°

    x = 29°

    y = 45° + 16°

    y = 61°

    61° and 29° i guess.
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