At about the 1:23 mark (and he continues the mistake further in the problem), the teacher writes 3x+8 on the board instead of 3x+9. The teacher does the rest of the work correctly, but because of this error, he gets the wrong answer. He should get x=23 and measure of angle LKM=156.
Using angle bisectors and supplementary angles to solve for x
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Questions answered by this video:
What does angle bisector mean?
How can I solve for an angle measure when I know I have an angle bisector?
How do I solve for the measure of the angle when I the angle measure I am given has a variable in it?
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This lesson shows how to solve for an angle measure when you are given the angle measure with a variable in it, and you know that you have an angle bisector.