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#

#b = a-8#

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^@#.

First, we know both angles must add up to #90^@#, 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!