document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190944>Question 1190944</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 3(m∠Y) − 150°. Find m∠Y </SPAN>\n" );
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document.write( "Answer: 60 degrees\r<BR>\n" );
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document.write( "Reasoning:\r<BR>\n" );
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document.write( "Complementary angles add to 90 degrees by definition.<BR>\n" );
document.write( "<font color=red><u>Co</u></font>mplementary angles form a <font color=red><u>co</u></font>rner. <BR>\n" );
document.write( "Both \"complementary\" and \"corner\" start with \"Co\", and this is the trick you can use to remember the definition.\r<BR>\n" );
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document.write( "In contrast, supplementary angles add to 180 degrees<BR>\n" );
document.write( "The angles form a straight line.<BR>\n" );
document.write( "\"supplementary\" and \"straight\" both start with S.\r<BR>\n" );
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document.write( "Anyways, the angles S and Y add to 90 degrees, which means,<BR>\n" );
document.write( "(angle S) + (angle Y) = 90<BR>\n" );
document.write( "(3Y-150) + (Y) = 90<BR>\n" );
document.write( "4Y - 150 = 90<BR>\n" );
document.write( "4Y = 90+150<BR>\n" );
document.write( "4Y = 240<BR>\n" );
document.write( "Y = 240/4<BR>\n" );
document.write( "Y = 60<BR>\n" );
document.write( "Angle Y is 60 degrees\r<BR>\n" );
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document.write( "From there, we can find angle S if you wanted<BR>\n" );
document.write( "S = 3Y - 150<BR>\n" );
document.write( "S = 3*60 - 150<BR>\n" );
document.write( "S = 180 - 150<BR>\n" );
document.write( "S = 30\r<BR>\n" );
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document.write( "As a way to check,<BR>\n" );
document.write( "(angle S) + (angle Y) = 60 + 30 = 90<BR>\n" );
document.write( "The answer is confirmed.<BR>\n" );
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