Answer
y = 70 degrees, x = 40 degrees
Work Step by Step
We use our knowledge of geometry to create two equations:
$2y+x = 180 $
and
$y + 3x - 10 = 180$
We substitute:
$y + 3(180-2y) - 10 = 180$
Now, we use PEMDAS, a method for simplification. This acronym reminds us that we must first address parentheses, and then exponents. Next, we address multiplication and division, going from left to right. Lastly, we simplify addition and subtraction from left to right. This gives:
$y = 70$
We substitute y back into one of the two initial equations, and then we solve for x. This gives:
$x = 40$
