document.write( "Question 991442: Given 6 angles with the following measures: 30,40,50,60,130,140. What is the probability that a pair of angles is either complementary or supplementary if 2 of them are selected at random? \n" ); document.write( "

Algebra.Com's Answer #611420 by Fombitz(32388) $\"\"$ $\"About$

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Look at all possible outcomes.
\n" ); document.write( "There are 30 of them $\"6%21%2F%286-2%29%21\"$ .
\n" ); document.write( "30,40
\n" ); document.write( "30,50
\n" ); document.write( "30,60----->90
\n" ); document.write( "30,130
\n" ); document.write( "30,140
\n" ); document.write( "40,30
\n" ); document.write( "40,50----->90
\n" ); document.write( "40,60
\n" ); document.write( "40,130
\n" ); document.write( "40,140----->180
\n" ); document.write( "50,30
\n" ); document.write( "50,40----->90
\n" ); document.write( "50,60
\n" ); document.write( "50,130----->180
\n" ); document.write( "50,140
\n" ); document.write( "60,30----->90
\n" ); document.write( "60,40
\n" ); document.write( "60,50
\n" ); document.write( "60,130
\n" ); document.write( "60,140
\n" ); document.write( "130,30
\n" ); document.write( "130,40
\n" ); document.write( "130,50----->180
\n" ); document.write( "130,60
\n" ); document.write( "130,140
\n" ); document.write( "140,30
\n" ); document.write( "140,40----->180
\n" ); document.write( "140,50
\n" ); document.write( "140,60
\n" ); document.write( "140,130
\n" ); document.write( "So of the 30, 8 of them are either supplementary or complementary.
\n" ); document.write( " $\"P=8%2F30=4%2F15\"$
\n" ); document.write( " \n" ); document.write( "

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