Question

The measure of an angle is twenty-nine times the measure of its complementary angle. What is the measure of each angle?

Answer 1

3 and 87

Explanation:

Okay, so just to review, when 2 angles are complementary, it means when put together they equal 90 degrees. So we can use this to make an equations. Let's call the smaller angle x, and because the other angle it's 29 times the measure of the smaller one, it will be 29x. The equation should now look like this:

90 = 29x + x

So we need to add the x's together:

90 = 30x

Now in order to find x, we have to divide by 30 on both sides.

x = 3

But we are not done yet. Now we know that the smaller angle is 3 degrees, but the bigger angle is 29 times as much, so we multiply 3 by 29, to get 87 degrees for the larger angle.

Answer 2

3, 87

Explanation:

Complementary angles add to 90 degrees

Let x be the first angle

29x is the other angle

x+29x = 90

Combine like terms

30x = 90

Divide each side by 30

30x/30 = 90/30

x = 3

The first angle is 3

the second angle is 90-3 = 87