Question

Angle J and angle K are complementary angles. The measure of angle J is 18 less than the measure of angle K. Fine the measure of both angles.

Please and thank you.

Answer 1

Explanation:

If J and K are complementary, then J + K = 90. If J is 18 less than K, then:

J = K - 18. Now we have a system. We'll sub in K - 18 for J to the first equation:

K - 18 + K = 90 and

2K - 18 = 90 and

2K = 108 so

K = 54

Now that we know K, we'll sub in to find J:

J + 54 = 90 so

J = 36