document.write( "Question 715391: Could you please help me with this geometry problem?\r
\n" ); document.write( "\n" ); document.write( "Problem: In triangle ABC, angle A is 5 times angle B, and angle C is 16 degrees less than angle B. What are the measures of the three angles?\r
\n" ); document.write( "\n" ); document.write( "My attempt: I tried to figure this problem out by forming an equation. I did A5=B
\n" ); document.write( "and got B/5. I took B/5 and tried the equation C- 16 degrees= B/5. I then multiplied 5 by each variable. I got 5c-80 degrees= B. I divided 5c and b by 5 and ended up with c-80 degrees= B/5... Here i got lost.. I know that i'm doing this wrong. I don't remember how to solve this problem... \r
\n" ); document.write( "\n" ); document.write( "Any help you could provide would be greatly appreciated!\r
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Algebra.Com's Answer #439412 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
USING ALGEBRA:
\n" ); document.write( "Let's call the measures of the angles (in degrees) \"A\" , \"B\" and \"C\"
\n" ); document.write( "We know that the measures of the angles of a triangle add up to \"180%5Eo\" so
\n" ); document.write( "\"highlight%28A%2BB%2BC=180%29\"
\n" ); document.write( "We translate \"angle A is 5 times angle B\" as
\n" ); document.write( "\"A=5%2AB\" (or \"highlight%28A=5B%29\" leaving out the optional middle dot symbol for multiplication).
\n" ); document.write( "We translate \"angle C is 16 degrees less than angle B\" as
\n" ); document.write( "\"highlight%28C=B-16%29\"
\n" ); document.write( "Now we put together all we know.
\n" ); document.write( "The sum of the three angles will be
\n" ); document.write( "\"%285B%29%2BB%2B%28B-16%29=180\" (I put the expressions for \"A\" and \"C\" in in parentheses, but those parentheses are not needed).
\n" ); document.write( "\"5B%2BB%2BB-16=180\" --> \"7B-16=180\" --> \"7B-16%2B16=180%2B16\" --> \"7B=196\" --> \"7B%2F7=196%2F7\" --> \"highlight%28B=28%29\"\r
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