document.write( "Question 332804: The second angle of a triangle is 4 times as large as the first. The third angle is 80° more than the sum of the other two angles. Find the measure of the second angle. \n" ); document.write( "

Algebra.Com's Answer #238454 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "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

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

represent the measure of the first angle.\r
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\n" ); document.write( "\n" ); document.write( "That means that

represents the measure of the second angle. The sum of the first and second angle is then

and the third angle is

more than that or

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\n" ); document.write( "\n" ); document.write( "Finally, we know that the sum of the interior angles of any triangle is

, so we can say:\r
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\n" ); document.write( "\n" ); document.write( "All that is left to be done is to solve for

to find the measure of the first angle and multiply that result by 4 to get the answer to this question.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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