<jkl if m<j is seven less than m<l and m<k is 21 less than twice m<l find the measure of each angle

Question

Find the measure of each angle

Answer 1

The sum of the interior angles of triangle JKL will add up to 180 degrees

so <J + <K + <L - 180

L = measure of angle L

J = measure of angle J = L - 7

K = measure of angle K = 2L - 21

so L + L-7 + 2L - 21 = 180

4L - 28 = 180

4L = 208

L = 52

J = L - 7 = 52 - 7 = 45

K = 2L - 21 = 2(52) - 21 = 83