Answer:
LM = 20
Explanation:
Use the Sine rule to calculate the length of LM
We require to find ∠N using sum of angles in a triangle.
∠N = 180° - (53 + 44)° = 180° - 97° = 83°, then
=
( cross- m ultiply )
LM × sin44° = LN × sin83°, that is
LM × sin44° = 14 × sin83° ( divide both sides by sin44° )
LM =
= 20