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

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Answer 1 · 2018-07-07T17:46:49

$a + b = 90$ $a + b = 90$

$b = a - 8$ $b = a-8$

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

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

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

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

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

$b = a - 8$ $b = a-8$

Hope this helps!