Answer:
Complementary, x is 78
Step-by-step explanation:
Let's first define what complementary and supplementary angles are. Complementary angles add up to 90 degrees, and supplementary add up to 180. From this image, we can see that this is a right angle. Right angles add up to 90 degrees, therefore, this is a complementary angle.
Now, because we know that it is 90 degrees and that (x-8)+(20) = 90, then we can solve for x. However, if the angle is unknown, then we would do x-8=20. In this case, sense we know for sure this angle is complementary, we do
(x-8)+(20) = 90
X+12=90 We combined like terms
X=78 Inverse operations
You can plug 78 into x and check to see if it is correct if they are 90 degrees total.
