Two angles are complementary. If one angle is one third of the second angle, what are the two angles?

Question

• n=first angle
• 2n=second angle
• Complementary=90-n

 

Answer 1

Complementary angles mean that they equal 90 degrees. Let's have the 1st angle be represented by 'a' and the 2nd by 'b.' Here's what we know:

a + b = 90

3a = b (if 'a' is one-third the value of 'b,' then b is also 3 times the size of 'a.')

 

We have values for the variables, so let's plug them in:

a + 3a = 90

4a = 90

Divide by 4:

a = 22.5

 

You should be able to find b from here.