Question 90541
Hello there,

1. Let's express the smaller angle as "s", since it's smaller. The ratio is 1:5 so you would set up the following equation:

s + 5s = 90 (complementary angle = 90°)

In this case, s would be the smaller angle, and 5s would be the larger angle. I'll leave it to you now.


2. We will denote "s" as the smaller angle and "L" as the larger angle".

s = s

L = 2s - 30 

They are complementary so s + L = 90. 

There you are.