The measure of one of two complementary angles is 6 degrees less than one half the measure of the other. Find the measure of the

Question

mojhsa [17]

3 years ago

5

The measure of one of two complementary angles is 6 degrees less than one half the measure of the other. Find the measure of the

smaller angle

Mathematics

1 answer:

solmaris [256] · Answer 1 · 2021-12-15T19:00:00+03:00

It's helpful to choose letters to represent the measures of these complementary angles. Let x represent one and y the other.

What does "complementary angle" mean? x + y = ??

Let x be the smaller angle. First, we take "half the measure of the larger angle," or (y/2). Then we subtract 6 degrees from this result (y/2). The result is the xmaller angle, x.

Now you have two equations in x and y. Solve for one of these angles, and then find the other. Please show your work.