The larger of two complementary angles is 12 more than 5 times the measure of the other. find the measures of the two angles.

The two angles are 77&13

We know that a complementary angle is a part of angles that adds up to a total of 90 degrees. Given there are two angle measures to be deduced here, and that we have two pieces of information, this is a system of equations. We know that the smaller of the angles (angle a) and the larger of the angles (angle b) add up to a total of 90 degrees. Given this information, we can write our first equation.
a+b=90
We also know that angle a, the larger of the two is 12 more than five times the measure of angle b. Given this information we can write our second equation.
a=5b+12
Now we have to isolate for a variable in our first equation.
a+b=90
a=90-b
Now we can substitute 90-b in for a in our second equation
90-b=5b+12
90=6b+12
78=6b
13=b
b=13
Now we can substitute the measure of b back in to our first equation to get our second answer.
a+b=90
a+13=90
a=77
We now know that using our knowledge of systems of equations, the measures of these angles are 13 and 77 degrees.

Do something that you've always wanted to do. do something crazy, out of the ordinary but stay in your lanejaja hope it : d