I added a screenshot with the head of the question along with its drawing
Answer:
q = 12
m∠3 = 43°
Step-by-step explanation:
1- getting the value of q:
First we have:
∠NKL = ∠3 + ∠4 ..............> I
Now, we are given that KM bisects ∠NKL
This means that:
∠3 = ∠4 ..............>II
Substitute with II in I:
∠NKL = ∠4 + ∠4
∠NKL = 2 * ∠4 ............> III
We have:
∠NKL = 7q + 2
∠4 = 4q -5
Substitute with the givens in equation III and solve for q as follows:
∠NKL = 2 * ∠4
7q + 2 = 2(4q -5)
7q + 2 = 8q - 10
2 + 10 = 8q - 7q
q = 12
2- getting ∠3:
We know that:
∠3 = ∠4 ............> I
∠4 = 4q -5 .........> II
q = 12 ..............> III
Substitute with III in II:
∠4 = 4(12) - 5 = 43°
From I, we can deduce that:
∠3 = 43°
Hope this helps :)