Question 332804
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Ordinarily when I do word problems, I just choose a variable to represent the thing I want to know.  In this problem it asks for the measure of the second angle, so my initial instinct was to let *[tex \Large x] represent the measure of the second angle.  However, doing that means that the expression for the first angle is a fractional expression.  No big deal really, it is just that I think it is tidier if you can avoid fractions.  So I'm going to let *[tex \Large x] represent the measure of the first angle.


That means that *[tex \Large 4x] represents the measure of the second angle.  The sum of the first and second angle is then *[tex \Large x\ +\ 4x\ =\ 5x] and the third angle is *[tex \Large 80^\circ] more than that or *[tex \Large 5x\ +\ 80]


Finally, we know that the sum of the interior angles of any triangle is *[tex \Large 180^\circ], so we can say:



*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ 4x\ +\ 5x\ +\ 80\ =\ 180]


All that is left to be done is to solve for *[tex \Large x] to find the measure of the first angle and multiply that result by 4 to get the answer to this question.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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