Let us say angle 1 is #x# and angle 2 is #y#. We know that #x+y=180#. We can also say #y# is the angle that is 3 times #x# + 60. We get #y=3x+60#. We can know plug this in for #y# getting #x+3x+60=180#. Combining like terms gets us #4x+60=180#. We then subtract 60 on both sides, and we get #4x=120#. We then divide 4 on both sides, #(4x)/4=120/4#, and 4 is cancelled out next to #x# and 120 divided by 4 is 30. The first angle is now solved and equals 30. We then go back to out equation of #y=3x+60# and we plug in 30 for #x#. 3(30) equals 90, and 90 + 60 equals 150. The second angle is now solved for.
