Question

Question 2 I need help w that

Answer 1

Answer:

∠KMN = 101°

Step-by-step explanation:

Exterior angle of a triangle equals to the sum of opposite interior angles.

13x + 36 = 4x + 81

Subtract 4x from both sides

13x + 36 - 4x = 4x + 81 -4x

9x + 36 = 81

Subtract 36 form both sides

9x + 36 - 36 = 81 - 36

           9x = 45

Divide both sides by 9

 9x/9 = 45/9

 x = 5

∠KMN = 13x + 36

           = 13*5 + 36

          = 65 + 36

∠KMN = 101°

Answer 2

Answer:

101°

Step-by-step explanation:

The interior angles indicated add up to the exterior angle <KMN because they are on the opposite side of it. You can substitute these into an equation to find x.

4x + 81 = 13x + 36

Group like terms

4x - 13x = 36 - 81

-9x = -45

Divide both sides of the equation by -9 so x can stand alone

$\frac{-9x}{-9} = \frac{-45}{-9}$

x = 5

Now to find <KMN, we just have to substitute 5 into the expression

= 13(5) + 36

= 65 + 36

= 101°