Answer:
∠ K = 35° and ∠ L = 105°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
let ∠ K = x then ∠ L = 3x
Sum the angles and equate to 180
3x + x + 40 = 180, that is
4x + 40 = 180 ( subtract 40 from both sides )
4x = 140 ( divide both sides by 4 )
x = 35
Thus
∠ K = 35° and ∠ K = 3x = 3 × 35 = 105°