document.write( "Question 1202816: The sum of the measures of two exterior angles of a quadrilateral is 300 and the other two exterior angles are congruent. Find the measure of each \n" ); document.write( "
Algebra.Com's Answer #837974 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "a,b,c,d = the four exterior angles\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a+b = 300 \n" ); document.write( "c = d\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For any polygon, the exterior angles add to 360 degrees \n" ); document.write( "a+b+c+d = 360 \n" ); document.write( "(a+b)+c+c = 360 \n" ); document.write( "300+2c = 360 \n" ); document.write( "2c = 360-300 \n" ); document.write( "2c = 60 \n" ); document.write( "c = 60/2 \n" ); document.write( "c = 30 \n" ); document.write( "Each of the other two congruent exterior angles is 30 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The first two exterior angles (a and b) are unknown because we don't have enough information based solely on a+b = 300 \n" ); document.write( " \n" ); document.write( " |