Question

In triangle JKL, if angle J is seven less than angle L and angle K is 21 less than twice angle L, find the measure of each angle.

Answer 1

L = 52°

J = 45°

K = 83°

Explanation:

J = L - 7

K = 2L - 21

J + K + L = 180°

∴ (L - 7) + (2L - 21) + L = 180

4L - 28 = 180

4L = 208

L = 52°

J = 52 - 7 = 45°

K = 2 x 52 - 21 = 83°