Recall that two angles are complementary if the sum of their measures is 90degrees°. Find the measures of two complementary angles if one an

Question

Recall that two angles are complementary if the sum of their measures is 90degrees°. Find the measures of two complementary angles if one angle is 66 degrees° more than threethree times the other angle.

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Adalynn 2 weeks 2021-09-08T05:50:23+00:00 2 Answers 0

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    0
    2021-09-08T05:51:33+00:00

    Answer:

    24

    How:

    90-66=24

    Since complementary angles add up to 90 degrees it’s quite simple just subtract to find the number of the unknown angle.

    0
    2021-09-08T05:52:04+00:00

    Answer:

    84 degrees and 6 degrees

    Step-by-step explanation:

    Let’s use x to describe the unknown value of the second angle.

    The first angle is 66 degrees more than 3 times the second angle. This can be represented as: 3x + 66

    The other angle is x.

    The two angles combined equals 90, so in order to find the value of x, let’s use this equation:

    3x + 66 + x = 90

    Combine like terms

    4x + 66 = 90

    Isolate the 4x by subtracting 66

    4x = 24

    Isolate the x by dividing both sides by 4

    x = 6

    use this value of x to solve for the measures of the 2 angles.

    Angle 1: 3(6) + 66 = 18 + 66 = 84

    Angle 2: 6 degrees

    We know these measures are correct because 84 + 6 = 90

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45:7+7-4:2-5:5*4+35:2 =? ( )