document.write( "Question 601512:
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document.write( "BD bisects angle ABC m angle ABC = 8x m angle ABD = 2x+22 Find m angle DBC
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document.write( "(not able to draw angle)
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document.write( " options below:\r
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document.write( " _ 11' (degrees)
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document.write( " _ 50'
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document.write( " _ 44'
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document.write( " _ 88'\r
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document.write( "****This is a REVIEW, with \"possible\" same question on the test so I'd like to figure it out so then I am prepared if it is. ****\r
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document.write( "Thanks! \n" );
document.write( "
Algebra.Com's Answer #379822 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Since BD bisects ABC, this means that \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ABD = (1/2)ABC \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "or \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2ABD = ABC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug the expressions in and solve for x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2ABD = ABC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2(2x+22) = 8x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x+44 = 8x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "44 = 8x-4x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "44 = 4x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "44/4 = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "11 = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 11\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now plug this back into ABD\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ABD = 2x+22\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ABD = 2(11)+22\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ABD = 22+22\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ABD = 44\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the measure of angle DBC is 44 degrees (since angle ABD and DBC are equal in measure) \n" ); document.write( " |