# One of two complementary angles is 8 degrees less than the other. What systems of equations represents the word problem?

Jul 7, 2018

$a + b = 90$

$b = a - 8$

#### Explanation:

Let's let one angle be $a$ and the other be $b$.

We know that complementary refers to two angles that sum up to ${90}^{\circ}$.

First, we know both angles must add up to ${90}^{\circ}$, which forms an equation:
$a + b = 90$

We also know that one angle is $8$ degrees less than the other. Let's say that's $b$. So $b = a - 8$

Therefore, the system of equations is:
$a + b = 90$

$b = a - 8$

Hope this helps!