Find each angle of a parallelogram if two consecutive angles are in the ratio 1:3.​

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Find each angle of a parallelogram if two consecutive angles are in the ratio 1:3.​

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2 thoughts on “<br />Find each angle of a parallelogram if two consecutive angles are in the ratio 1:3.​”

  1. [tex]\huge \color{cyan} \boxed{ \colorbox{black}{AnsWer}}[/tex]

    [tex]some \: of \: adjacent \: angles \: \\ of \: parallelogram \: is \: 180 \: degree. . [/tex]

    [tex]so.. let \: no \: be \: x[/tex]

    [tex]x +3x =180[/tex]

    [tex]4x =180[/tex]

    [tex]x=180/4[/tex]

    [tex] = 45 \: degree[/tex]

    [tex]so.. \: one \: angle \: is \: 45[/tex]

    [tex]other \: one \: is \: 3 \times 45=135[/tex]

    [tex]the \: opposite \: angles \: of \: \\ parallelogram \: are \: equal [/tex]

    [tex]so..\: angle \: opposite \: to \: \\ 45 \: will \: be \: of \: 45 \: degree..[/tex]

    [tex]and \: opposite \: to \: 135 \: \\ will \: be \: of \: 135 \: degree[/tex]

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