Question

Recall that two angles are complementary if the sum of their measures is​ 90°. Find the measures of two complementary angles if one angle is Seventeen times the other angle.

Answer 1

Answer:

5 and 85 degrees

Step-by-step explanation:

Ok, so if 2 angles are complementary, that means when put together they equal 90 degrees.

So, let's say one angle is a.

This means the bigger angle would be 17 times the smaller angle, or 17a.

Now let's make an equation:

a + 17a = 90

Now, we have to combine the like terms:

18a = 90

Now in order to find the smaller angle, we just have to divide by 5:

a = 5

This means that the smaller angle is 5 degrees, but because the bigger angle is 17 times the size, we just multiply 5 and 17 together to get 85 degrees.

Hope this helps :)