Question

Angle J and angle K are complementary angles. The

measure of angle J is 18 less than the measure of
angle K. Find the measures of both angles.

Answer 1

J = 36

k = 54

Explanation:

A complementary angle is an angle that adds up to 90 degrees

This means that angle J and angle K equals 90

J = k - 18

k + k - 18 = 90

2k - 18 = 90

First add 18 on each side

2k = 108

Now divide 2 on both sides

k = 54

This means that k = 54 and J = 54 - 18 (36)

Answer 2

Hey there! I'm happy to help!

If angles are complementary, they add up to 90 degrees.

This gives us this system of equations.

J=K-18

J+K=90

We plug the value of J into the second equation to solve for K.

K-18+K=90

We combine like terms.

2K-18=90

Add 18 to both sides.

2K=108

Divide both sides by 2.

K=54

J is 18 less than K.

54-18=36

Therefore, angle J is 36 degrees and angle K is 54 degrees.

Have a wonderful day! :D