document.write( "Question 476475: The degree measure of an angle and its supplement are consecutive odd integers. Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #326666 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Let D represent an odd integer. Then the next consecutive odd integer has to be +2 above that number. (Example, since 3 is an odd integer, the next consecutive odd integer has to be 3 + 2 = 5.) \n" ); document.write( ". \n" ); document.write( "We know that the two angles we are to find are supplementary -- meaning that when added together their sum is 180 degrees. \n" ); document.write( ". \n" ); document.write( "So we can say that: \n" ); document.write( ". \n" ); document.write( "D + (D + 2) = 180 \n" ); document.write( ". \n" ); document.write( "The parentheses can be removed: \n" ); document.write( ". \n" ); document.write( "D + D + 2 = 180 \n" ); document.write( ". \n" ); document.write( "Subtract 2 from both sides of the equation: \n" ); document.write( ". \n" ); document.write( "D + D = 178 \n" ); document.write( ". \n" ); document.write( "Add the two terms on the left side: \n" ); document.write( ". \n" ); document.write( "2D = 178 \n" ); document.write( ". \n" ); document.write( "and solve for D by dividing both sides of the equation by 2: \n" ); document.write( ". \n" ); document.write( "D = 89 \n" ); document.write( ". \n" ); document.write( "So we know that the measure of one of the two angles is 89 degrees. The other angle is +2 more so that it is 91 degrees. \n" ); document.write( ". \n" ); document.write( "These two angle measures satisfy the problem. They are consecutive odd integers and their sum is 180 degrees so they are also supplementary. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand how to do this problem. \n" ); document.write( " \n" ); document.write( " |