document.write( "Question 823837: if 2 angles are complementary , find the measure of the smallest angle of the measures of two angles are in the ratio of 3:1 \n" ); document.write( "

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from the ratio 3:1 we can say its basically 3
\n" ); document.write( "since the 1 is representing the \"small\" portion of the complementary angle, we can make the variable x
\n" ); document.write( "Since 3 is representing the big portion of the complementary angle. because 3 is 3 times bigger than 1 we can make the big side equal to 3x\r
\n" ); document.write( "\n" ); document.write( "we know a complementary angle equals 90 degrees so we can make an equation using the variables that we made for the big angle and small angle.
\n" ); document.write( "x+3x=90
\n" ); document.write( "simplify equation
\n" ); document.write( "4x=90
\n" ); document.write( "x=22.5 <== this is the answer to the small angle
\n" ); document.write( " If you also want to find the big angle plug x into the big angle variable
\n" ); document.write( "3x-->3(22.5)=67.5 <=== this is the big angle amount\r
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\n" ); document.write( "\n" ); document.write( "Answer:
\n" ); document.write( "small angle =22.5 (degrees) \n" ); document.write( "

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