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Answer:

<K = 55     <L = 55     <M = 70

Step-by-step explanation:

As it is an isosceles triangle, Two sides of the triangle will be equal and their angles will be equal too.

L and K are both = (4x + 3)

All angles in a triangle add up to 180

(4x + 3) + (4x + 3) + (5x + 5) = 180

4x + 3 + 4x + 3 + 5x + 5 = 180

13x + 11 = 180

13x = 180 - 11

13x = 169

x = 169/13

x = 13

<K = 4x + 3 = 4(13) + 3 = 55

<L = 4x + 3 = 4(13) + 3 = 55

<M = 5x + 5 = 5(13) + 5 = 70