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math

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one angle of triangle measures 110 degrees the other two angles are in a ratio of 5:9 what are the measures of those tow agnels

  • math - ,

    A , B and C = The angles of a triangle

    A = 110 °

    The angles of a triangle always sum to 180 °

    A + B + C = 180 °

    110 ° + B + C = 180 °

    B + C = 180 ° - 110 °

    B + C = 70 °



    B / C = 5 / 9 Multiply both sides by C

    B = 5 C / 9


    B + C = 70 °

    5 C / 9 + C = 70 °

    5 C / 9 + 9 C / 9 = 70 °

    14 C / 9 = 70 ° Multiply both sides by 9

    14 C = 70 ° * 9

    14 C = 630 ° Divide both sides by 14

    C = 630 ° / 14

    C = 45 °

    B = 5 C / 9

    B = 5 * 45 ° / 9

    B = 225 ° / 9

    B = 25 °

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