Angles dealing with Alegbra

Question

One angle is eight degrees more than four times the measure of another. Together, the angle measures have a sum of 128 degrees. How many degrees is measure of the angle with the greater measure?

Answer 1

We'll call the first angle "x". The second will be "y".

So x = 8 + 4y.

Also, x + y = 128.

So it's a system of equations. Since the first equation is already telling us what x is in terms of y, we can substitute it into the second equation for "x".

x + y = 128 becomes (8 + 4y) + y = 128 with this substitution.

=> 8 + 5y = 128

=> 5y = 128 - 8

=> 5y = 120

=> y = 24

Now substitute this back into either equation to find x:

x = 8 + 4(24)

x = 104