Given: △KLM, KM = 24 m∠K=34°, m∠M=15°, m∠1=m∠2 Find: K

Question

Given: △KLM, KM = 24 m∠K=34°, m∠M=15°, m∠1=m∠2 Find: K

KF≈  units

Answer 1

If m∠K = 34º, then m∠1=m∠2 = 34/2 = 17º

This makes m∠KFM = 180 - 17 - 15 = 148º

Using the sine law

KM/sin(148) = KF/sin(17)

KF = 24sin(17)/sin(148) ≈ 13.2415 units