Question

Write a system of equations for the scenario below.

Two angles are complementary; their sum is 90 degrees. if one is 10 degrees more than seven times the other, find the angles.

Answer 1

The two angles are 10° and 80°

Explanation:

Let's let our angles be
`A` and
`B`

Their sum is 90 degrees

`A+B=90`

`A = 90-B`

if one is 10 degrees more than seven times the other, find the angles.

`A = 10 + 7B`

Now we can substitute A from the first equation

`A = 90-B\\A = 10 + 7B\\\\90-B =10 + 7B\\8B = 80\\B = 10`

The two angles are 10° and 80°