Question

In ΔLMN, m∠L = 108°, m∠M = 25°, and ℓ = 12. What is m?

Answer 1

Answer:

m = 5.33

Step-by-step explanation:

First we need to calculate angle N.

Sum of angles in a triangle is 180°

∠L + ∠M + ∠N = 180°

108°+25°+∠N = 180°

∠N = 180°-(108°+25°}

∠N = 180°-133°

∠N = 47°

Given side l = 12, to get m, we will use the sine rule.

l/sinL = m/sinM = n/sinN

12/sin108° = m/sin25°

m × sin108°= 12sin25°

m = 12sin25/sin108°

m = 5.071/0.951

m = 5.33