document.write( "Question 713726: Consider the following relationships among three angles: <1 is supplementary to <2 and complementary to <3, and <2 and <3 are a linear pair. Find m<1. \n" ); document.write( "

Algebra.Com's Answer #438519 by fcabanski(1391) $\"\"$ $\"About$

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Start by writing what the problem tells you, and what you know.

\n" ); document.write( "What you know - the sum of supplementary angles is 180, the sum of complementary angles is 90, and the sum of linear pairs is 180.

\n" ); document.write( "What the problem tells you: m>1 + m>2 = 180, m>1 + m>3 = 90 and m>2 +m>3 = 180

\n" ); document.write( "There are three equations and three unknowns, so we can solve for all three.

\n" ); document.write( "Add the first two equations: m>1 + m>2 + m>1 + m>3 = 180+90 = 270.

\n" ); document.write( "We know, by the third equation, that m>2 + m>3 = 180, so substitute that into our added equations:

\n" ); document.write( "m>1 + 180 + m>1 = 270

\n" ); document.write( "Subtract 180 from both sides: 2*(m>1) = 90 ...divide by 2 m>1 = 45
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Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.) \n" ); document.write( "

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