document.write( "Question 1047512: In triangle ABC, angles A and B are complementary angles. The measure of angle A is 10° leas than four times the measure of B. Find the measure of all three angles. \n" ); document.write( "

Algebra.Com's Answer #663031 by KMST(5328) $\"\"$ $\"About$

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If A and B are complementary (their measures adding to $\"90%5Eo\"$ ),
\n" ); document.write( "then angle C measures $\"highlight%2890%5Eo%29\"$ ,
\n" ); document.write( "because the sum of the measures of all three angles in any triangle is $\"180%5Eo\"$ .
\n" ); document.write( "If $\"A\"$ and $\"B\"$ are the measures , in degrees, of angles A and B,
\n" ); document.write( "\" The measure of angle A is 10° leas than four times the measure of B\" translates as $\"A=4B-10\"$ .
\n" ); document.write( "Then,
\n" ); document.write( " $\"system%28A%2BB=90%2CA=4B-10%29\"$ --> $\"system%284B-10%2BB=90%2CA=4B-10%29\"$ --> $\"system%285B-10=90%2CA=4B-10%29\"$ --> $\"system%285B=90%2B10%2CA=4B-10%29\"$ --> $\"system%285B=100%2CA=4B-10%29\"$ --> $\"system%28B=100%2F5%2CA=4B-10%29\"$ --> $\"system%28B=20%2CA=4B-10%29\"$ --> $\"system%28B=20%2CA=4%2A20-10%29\"$ --> $\"system%28B=20%2CA=80-10%29\"$ --> $\"highlight%28system%28B=20%2CA=70%29%29\"$ \n" ); document.write( "

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