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2 years ago

10

BRAINLIEST ASAP! PLEASE HELP ME :)

1 answer:

Likurg_2 [28]2 years ago

7 0

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}}}$

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Step-by-step explanation:

Part 1) we have

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To calculate the subtraction convert the mixed numbers to an improper fractions

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Part 3) we have

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Convert to mixed number

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