Answer:
The two angles are 10° and 80°
Step-by-step explanation:
Let's let our angles be [tex]A[/tex] and [tex]B[/tex]
Their sum is 90 degrees
[tex]A+B=90[/tex]
[tex]A = 90-B[/tex]
if one is 10 degrees more than seven times the other, find the angles.
[tex]A = 10 + 7B[/tex]
Now we can substitute A from the first equation
[tex]A = 90-B\\A = 10 + 7B\\\\90-B =10 + 7B\\8B = 80\\B = 10[/tex]
The two angles are 10° and 80°
