document.write( "Question 222576: Angle A and angle B are complementary. The measure of angle B is 3 times the measure of A. Find the measure of angles A and B. \n" ); document.write( "
Algebra.Com's Answer #166631 by drj(1380)![]() ![]() You can put this solution on YOUR website! Angle A and angle B are complementary. The measure of angle B is 3 times the measure of A. Find the measure of angles A and B.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Complementary angles means two angles add up to 90 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let A be one angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Let B=90-A be its complement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. B=3A or 90-A=3A since the measure of B is 3 time the measure of A.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. Solving yields the following steps\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add A to both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide 4 to both sides of the equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: The complementary angles are A=22.5 and B=67.5 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |