Twice the complement of an angle is 25 less than 3 times the angle. Find the measure of both angles.

Question

Twice the complement of an angle is 25 less than 3 times the angle. Find the measure of both angles.

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Hưng Khoa 4 years 2021-08-26T01:29:08+00:00 1 Answers 96 views 0

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  1. phucdien
    0
    2021-08-26T01:30:56+00:00
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    Answer:

    Step-by-step explanation:

    Let the angles size = x

    The complement of the angle is 90 – x

    Two times the compliment is 2*(90 – x)

    Three times the angle is 3x

    25 less than 3 times the angle = 3x – 25

    Now you have to equate the two bolded pieces of information.

    3x – 25 = 2(90 – x)                 Remove the brackets

    3x – 25 = 180 – 2x                 Add 25 to both sides

         25      25

    3x = 205 – 2x                         Add 2x to both sides.

    2x              2x

    5x = 205                                Divide by 5

    5x/5 = 205/5

    x = 41

    The compliment of x = 90 – 41 = 49

    The angle itself = 41

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