document.write( "Question 623107: In quadrilateral ABCD, the measure of angle a is twice the measure of angle b, the measure of angle b is twice that of angle c, and the measure of angle c is twice that of angle D. Find each angle measure. \n" ); document.write( "
Algebra.Com's Answer #391881 by Earlsdon(6294)\"\" \"About 
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In any quadrilateral, the sum of the interior angles is 360 degrees, so angles
\n" ); document.write( "a+b+c+d = 360 degrees.
\n" ); document.write( "But a = 2b
\n" ); document.write( "and b = 2c
\n" ); document.write( "and c = 2d so...
\n" ); document.write( "b = 4d and
\n" ); document.write( "a = 8d so we have:
\n" ); document.write( "8d+4d+2d+d = 360
\n" ); document.write( "15d = 360 and
\n" ); document.write( "d = 24 degrees
\n" ); document.write( "c = 2(24) = 48 degrees and
\n" ); document.write( "b = 4(24) = 96 degrees and
\n" ); document.write( "a = 8(24) = 192 degrees.\r
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