Question 954568
Complementary angles add up to 90°. Let x = the measure of one angle and 8x = the measure of the other angle. Let's set up an equation:
{{{x+8x=90°}}}
Solve for x.
{{{9x=90°}}}
{{{x=10}}} 
So we have the first angle, but we have to find the other angle, which is 8 times bigger. Multiply 10 by 8 to get 80.
The angle measures are 10° and 80°. 
~~~~~~~~~~~~~~~~~~~~~~~~~~
To check, see if 10°+80°=90°. 
10°+80°=90°
90°=90°
Yes
~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope I helped!