If and are complementary angles such that - = 6 and m =n , then what is ( m+n m-n ) equal to ?

Step-by-step solution

Since and are complementary angles, + = 2 . We are given - = 6 . Adding the two equations yields 2 = 2 3 = 3 . Subtracting the two equations yields 2 = 3 = 6 . From the given relation m = n , we have: m n = = ( 3 ) ( 6 ) = 3 1 3 = 3 Therefore, m+n m-n = 3+1 3-1 = 2 . Answer: 2