Recall that two angles are complementary if the sum of their measures is 90 degrees. Find the measures of two complementary angles, if one angle is seventeen times the other angle.

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Note that the complementary angles is 90 degrees.

We have two separate angles. Let's call angle 1=a and angle 2=b

But, we know that one angle is 17 times greater than the other. So let's arbitrarily call angle 1 the larger angle.

So we know that a is 17 times greater than b. In otherwords a=17b Well we know that we are adding these two numbers, and their total is 90

a+b=90, substitue a=17b into the equation

17b+b=90

18b=90

b= 5

So angle b is 5 degrees.

Subsitute b into a=17b

a=17(5)= 85.

So angle a=85 degrees.

Note that 85+5=90, which is exactly what we wanted.

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