the magnitude of an angle which is 2/3of it’s supplement​

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the magnitude of an angle which is 2/3of it’s supplement​

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Abigail 1 month 2021-08-16T20:44:41+00:00 1 Answer 0 views 0

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    2021-08-16T20:46:05+00:00

    Let the first angle be `x`

    Then the other angle will be 2/3 of x = 2x/3

    According to the Q

    ⇒x + 2x/3 = 180    [supplementary]

    ⇒(3x+2x)/3 = 180

    ⇒5x = 180 ×3

    ⇒x = 540/5

    ∴x= 108°

    ∴The required angle = 2x/3

                                     = 2(108)/3 

                                     = 216/3

                                     = 72°.

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