document.write( "Question 620937: one angle is 4 degrees more than three times another. find the measure of each angle if \r
\n" ); document.write( "\n" ); document.write( "a. they are complements of each other
\n" ); document.write( "b. they are supplements of each other \r
\n" ); document.write( "\n" ); document.write( "how do you solve this problem? \n" ); document.write( "

Algebra.Com's Answer #390507 by KMST(5328) $\"\"$ $\"About$

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Let the measure (in degrees) of the smaller angle be x.
\n" ); document.write( "The measure of the larger angle is 3x+4 (4 degrees more than 3 times x).
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\n" ); document.write( "a) If the angles are complements of each other, their measures add up to 90 degrees, so
\n" ); document.write( " $\"x%2B%283x%2B4%29=90\"$ --> $\"4x%2B4=90\"$ --> $\"4x=90-4\"$ --> $\"4x=86\"$ --> $\"x=86%2F4\"$ --> $\"highlight%28x=21.5%29\"$ is the measure of the small angle and $\"90-21.5=highlight%2867.5%29\"$ is the measure of the larger angle (in degrees).
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\n" ); document.write( "b) If the angles are supplements of each other, their measures add up to 180 degrees, so
\n" ); document.write( " $\"x%2B%283x%2B4%29=180\"$ --> $\"4x%2B4=180\"$ --> $\"4x=180-4\"$ --> $\"4x=176\"$ --> $\"x=176%2F4\"$ --> $\"highlight%28x=44%29\"$ is the measure of the small angle and $\"180-44=highlight%28136%29\"$ is the measure of the larger angle (in degrees). \n" ); document.write( "

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