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21 July, 05:21

A triangle has an angel of 25 degrees. The other two angles are in a ratio of 15:16. What are the measures of those two angles?

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  1. 21 July, 07:12
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    All triangle angles sum to 180 degrees.

    A) 25 + x + y = 180 which equals

    A) x + y = 155

    B) 15x = 16y

    B) x = 16y / 15

    Then substituting this into A)

    A) (16y / 15) + y = 155

    Multiplying both sides by 15

    A) 16y + 15y = 2,325

    A) 31y = 2,325

    y = 75

    Putting this into equation A)

    A) 25 + x + y = 180

    A) 25 + x + 75 = 180

    A) 100 + x = 180

    A) x = 80
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