Answer:
LM = 20
Step-by-step 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
[tex]\frac{LN}{sin44}[/tex] = [tex]\frac{LM}{sin83}[/tex] ( cross- m ultiply )
LM × sin44° = LN × sin83°, that is
LM × sin44° = 14 × sin83° ( divide both sides by sin44° )
LM = [tex]\frac{14sin83}{sin44}[/tex] = 20
