document.write( "Question 1193000: Suppose
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document.write( "m∠A = (2x + 4)°
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document.write( " and
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document.write( "m∠B = (3x − 34)°.
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document.write( "Find the measure of each angle (in degrees) of
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document.write( "▱ABCD.
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document.write( "m∠A =
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document.write( " °
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document.write( "m∠B =
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document.write( " °
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document.write( "m∠C =
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document.write( " °
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document.write( "m∠D =
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document.write( " ° \n" );
document.write( "
Algebra.Com's Answer #824944 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "In each parallelogram, the adjacent angles are supplementary, i.e. sum up to 180 degrees.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Angles A and B are adjacent, so you write this equation\r\n" ); document.write( "\r\n" ); document.write( " (2x + 4 ) + (3x - 34) = 180 degrees.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and find x\r\n" ); document.write( "\r\n" ); document.write( " 2x + 4 + 3x - 34 = 180\r\n" ); document.write( "\r\n" ); document.write( " 5x - 30 = 180\r\n" ); document.write( "\r\n" ); document.write( " 5x = 180 + 30\r\n" ); document.write( "\r\n" ); document.write( " 5x = 210\r\n" ); document.write( "\r\n" ); document.write( " x = 210/5 = 42.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Having x, find the angles. Use the given formulas.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved (which means that the way is shown and you are fully instructed).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Comment from student : ok so since i have x how would i find the measures of a,b,c and d ? should i divide 42 into 180?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "My response : In your post, there are formulas expressing angles via x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute the value of x= 42 degrees in these formulas and calculate the angles.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Keep in mind that in parallelogram opposite angles are congruent, i.e. have equal degree measures.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It will help you to find all angles.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |