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

Question

Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is 6º more than three times the other angle. ​

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RobertKer 3 years 2021-08-31T18:31:19+00:00 1 Answers 30 views 0

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    2021-08-31T18:32:19+00:00

    Answer:

    The two angles are 69° and 21°.

    Step-by-step explanation:

    Write out the expression:

    let x and y be two angles that are complementary and the sum of their measures is 90°

    -> x° + y° = 90°

    if one angle is 6º more than three times the other angle:

    -> x° = 6° +3y°

    Plug x = 6+3y into x° + y° = 90°

    6° + 3y° + y° = 90°

    Solve for y

    4y° = 84°

    y° = 21°

    Plug y into x° + y° = 90°

    x° + 21° = 90°

    Solve for x°

    x° = 90° – 21° = 69°

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