document.write( "Question 487339: if the measure of angle ABD =4x+15 and the measure of angle DBC = 2x+45 , find the degree measure of angle DBC. i just dont remember how to find x \n" ); document.write( "

Algebra.Com's Answer #333104 by cleomenius(959) $\"\"$ $\"About$

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\n" ); document.write( "Usually in this type of problem, the angles are either complementary or supplementary. Occasionally, they may be congruent.
\n" ); document.write( "If they are complementary, 4x + 15 + 2x + 45 = 90.
\n" ); document.write( "6x + 60 = 90
\n" ); document.write( "6x = 30
\n" ); document.write( "x = 5
\n" ); document.write( "4x + 15 = 35 degrees.
\n" ); document.write( "2x + 45 = 55 degrees.
\n" ); document.write( "35 + 55 = 90 degrees.
\n" ); document.write( "=====================
\n" ); document.write( "If they are supplementary, 4x + 15 + 2x + 45 = 180.
\n" ); document.write( "6x + 60 = 180
\n" ); document.write( "6x = 120
\n" ); document.write( "x = 20
\n" ); document.write( "4x + 15 = 95 degrees
\n" ); document.write( "2x + 45 = 85 degrees
\n" ); document.write( "95 + 85 = 180 degrees.
\n" ); document.write( "==========================
\n" ); document.write( "If they are congruent, 4x + 15 = 2x + 45
\n" ); document.write( "2x = 30
\n" ); document.write( "x = 15 degrees.
\n" ); document.write( "4(15) + 15 = 75 = 2(15) + 45.\r
\n" ); document.write( "\n" ); document.write( "Cleomenius. \n" ); document.write( "

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