55.7k views
4 votes
The difference of two complementary angles is 17 degrees. find the measures of the angles

1 Answer

2 votes

Answer:

The angle measures are 53.5° and 36.5°.

Explanation:

We can create a systems of equations, assuming x and y are the angle measures.

Since the two angles are complementary, their angle measures will add up to 90.

x + y = 90

x - y = 17

We can now use the process of elimination, and end up with:

2x = 107

Dividing both sides by two gets us

x = 53.5

Substituting this value into an equation will get us y

53.5 + y = 90

y = 36.5

Hope this helped!

User Xhxe
by
4.6k points