Question

EXPLAIN AND NO ONE SENTENCE ANSWER

Answer 1

Draw a line from K to M. If you draw any angle whose vertex is on the upper side of KM, you get two angles that add to 180o. One of the angles is 104x + 1.

But ...

What do you do about the arc? It is 211o - 1? That value = the central angle. A central angle is the angle going from K to the center of the circle to M. 1/2 that amount is the angle going to anywhere on the arc of the circle. So that is 1/2 of 211 - 1 = 105.5x - 1/2

These two angles when added together = 180o

105.5x - 1/2 +  104x + 1 = 180o         Collect like terms on the left
209.5x  + 1/2  =  180                          Subtract 1/2 from both sides
209.5x = 180 - 1/2
209.5x = 179.5                                   Divide by 209.5
x = 179.5 / 209.5
x = 0.8568

<KLM = 104*0.8568 + 1
<KLM = 89.1 + 1
<KLM = 90.1o <<<<< answer