Question

BRAINLIEST ASAP! PLEASE HELP ME :)

Answer 1

Answer:

$\large \boxed{41^{\circ}}$

Step-by-step explanation:

     ∠1 = ∠2

    ∠3 = ∠4

∠JKN = ∠1 + ∠2 = 8x + 2

∠MKN = ∠3

∠MKL = ∠4 = 3x + 5

So, ∠3 = 3x + 5

$\begin{array}{rcll}(\angle 1 + \angle 2) + \angle 3 + \angle 4 & = & 180 & \text{ \vec{KJ} and \vec{KL} are opposite rays}\\8x + 2 + 3x + 5 + 3x + 5 & = & 180 & \text{Made the substitutions}\\14x + 12 & = & 180 & \text{Simplified}\\14x & = & 168 &\text{Subtracted 12 from each side}\\x & = & \mathbf{12} & \text{Divided each side by 14}\\\angle3 & = & 3x + 5 & \\& = & 3(12) + 5 & \\& = & 36 + 5 & \\& = & \mathbf{41} & \\\end{array}\\m\angle MKN = \large \boxed{\mathbf{41^{\circ}}}$