Answer:
Angle K = 50
Angle L = 90
Angle KML = 40
Angle LMN = 140
Step-by-step explanation:
Solve for x. We know that triangles' interior angles add up to 180.
So, we can set the values to equal to 180 and solve for x.
5x + 9x + 4x = 180
Simplify.
18x = 180
Now, divide by 18.
x = 10
Now, plug 10 in for each angle.
Angle K = (5 * 10) = 50
Angle L = (9 * 10) = 90
Angle KML = (4 * 10) = 40
For this last angle, we use the supplementary theorem that says "angles that are supplementary to each other add up to 180".
So, we do angle LMN + 40 = 180
Angle LMN = (180 - 40) = 140
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