document.write( "Question 1083600: Two angles are complementary. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 10)°. What is the value of x?
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Algebra.Com's Answer #697607 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "Answer: 20\r
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\n" ); document.write( "\n" ); document.write( "Explanation:\r
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\n" ); document.write( "\n" ); document.write( "The angles are complementary meaning that they must add to 90 degrees.
\n" ); document.write( "If you placed them side by side (adjacent) then they would form a right angle.\r
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\n" ); document.write( "\n" ); document.write( "(measure of angle ABC) + (measure of angle DBC) = 90 degrees
\n" ); document.write( "(x) + (3x+10) = 90
\n" ); document.write( "x+3x+10 = 90
\n" ); document.write( "4x+10 = 90
\n" ); document.write( "4x+10-10 = 90-10
\n" ); document.write( "4x = 80
\n" ); document.write( "4x/4 = 80/4
\n" ); document.write( "x = 20\r
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\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "(x) + (3x+10) = 90
\n" ); document.write( "(20) + (3*20+10) = 90
\n" ); document.write( "20+3*20+10 = 90
\n" ); document.write( "20+60+10 = 90
\n" ); document.write( "80+10 = 90
\n" ); document.write( "90 = 90
\n" ); document.write( "The last equation is true so x = 20 has been confirmed as the solution.\r
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