document.write( "Question 1044402: A quadrilateral has two angles that measure 50° and 115°. The other two angles are in a ratio of 19:20. What are the measures of those two angles? \n" ); document.write( "
Algebra.Com's Answer #659683 by jim_thompson5910(35256)\"\" \"About 
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\"The other two angles are in a ratio of 19:20\" means that the two other angles are 19x and 20x where x is some positive number.\r
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\n" ); document.write( "\n" ); document.write( "The four angles of any quadrilateral always add to 360 degrees. Let's add them up and set that sum equal to 360 degrees. Then let's solve for x.\r
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\n" ); document.write( "\n" ); document.write( "50+115+19x+20x = 360
\n" ); document.write( "165+39x = 360
\n" ); document.write( "165+39x-165 = 360-165
\n" ); document.write( "39x = 195
\n" ); document.write( "39x/39 = 195/39
\n" ); document.write( "x = 5\r
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\n" ); document.write( "\n" ); document.write( "Using x = 5, we can determine the two missing angles now\r
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\n" ); document.write( "\n" ); document.write( "19x = 19*5 = 95
\n" ); document.write( "20x = 20*5 = 100\r
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\n" ); document.write( "\n" ); document.write( "The two missing angles are 95 degrees and 100 degrees\r
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\n" ); document.write( "\n" ); document.write( "Take note how adding the four angles gives 50+115+95+100 = 360
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