Answer:
∠L = 50°
Step-by-step explanation:
∠R = 109°
∠U is supplementary to ∠R
This means ∠R + ∠U = 180°
109° + ∠U = 180°
Subtract ∠R from 180° to get ∠U
∠U = 81°
A triangle's angles must add up to 180, so if we take ∠U + ∠E, we figure out what 2 of the 3 angles add up to, we can then subtract this sum from 180 to figure out ∠L
81° (This is ∠U) + 49° (This is ∠E) = 130°
180° (Sum of all of a triangle's angles) - 130° (Sum of ∠U and ∠E) = 50° (∠L)
