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

Answer:

The two angles are 10° and 80°

Step-by-step 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°