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18 February, 04:44

In any triangle the angles add up to 180. i triangle abc angle a is twice as large as angle b is 4 degrees larger than angle

c. what are the measures of each angle

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  1. 18 February, 06:55
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    A + b + c = 180

    a = 2b

    b = c + 4

    Substitute the b equation into the a equation

    a = 2 (c + 4)

    a = 2c + 8

    Substitute equations a and b into the first equation

    2c + 8 + c + 4 + c = 180

    4c = 168

    c = 42

    Find the other angles using c

    b = 42 + 4

    b = 46

    a = 2 (42) + 8

    a = 92

    Therefore angle a is 92 degrees, angle b is 46 degrees, and angle c is 42 degrees.
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