The measure of an angle is 6 less than 5 times its complement. what is the measure of its complement
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
Given
Required
Solve (a) to (d)
Using tan formula, we have:
This gives:
Rewrite as:
Using a unit ratio;
Using Pythagoras theorem, we have:
Take square roots of both sides
So, we have:
Solving (a):
This is calculated as:
Where:
So:
Solving (b):
This is calculated as:
Where:
---- given
So:
Solving (c):
In trigonometry:
Hence:
Solving (d):
This is calculated as:
Where:
So: