If an angle is one-third of its complement, then the angles (in degree)​

Question

If an angle is one-third of its complement, then the angles (in degree)​

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Julia 4 days 2021-09-13T15:07:40+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-13T15:08:43+00:00

    Answer:

    45°

    Step-by-step explanation:

    Then complement of that angle — (90- x)°

    Supplement of that angle — (180 – x)°

    A/Q —.>

    90 – x = 1/3( 180 – x)

    90 – x = 60 – x/3

    -x + x/3 = 60 – 90

    [ – 3x + x] / 3 = – 30

    -2x/3 = -30

    x = 30 x 3/2

    x = 45°

    Please mark me as brainiest answer

    0
    2021-09-13T15:08:45+00:00

    =>Let the required angle be x°

    =>Then,it’s complement=(90-x)°

    Now,As Per Question

    =>1/3(90-x)=x

    =>30-1/3x=x

    =>30=x+1/3x

    =>30=4/3x

    =>30×3=4x

    =>90=4x

    =>x=90/4

    =>x=22.5°

    Thus,the required angle is 22.5°

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