document.write( "Question 1123404: Line BD bisects angle ABC, angle ABC = 9x. Angle ABD = 4x + 13. Find angle DBC \n" ); document.write( "

Algebra.Com's Answer #739723 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "From the condition, you have\r\n" );
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document.write( "the measure of the angle ABC = two times the measure of the angle ABD.\r\n" );
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document.write( "In terms of \"x\" it means\r\n" );
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document.write( "    9x = 2*(4x + 13)\r\n" );
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document.write( "    9x = 8x + 26\r\n" );
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document.write( "    x = 26  degrees.\r\n" );
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document.write( "Then the measure of the angle DBC = 4x + 13 = 4*26 + 13 = 117 degrees.\r\n" );
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document.write( "Answer.  The measure of the angle DBC is 117 degrees.\r\n" );
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