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EXPLAIN AND NO ONE SENTENCE ANSWER

EXPLAIN AND NO ONE SENTENCE ANSWER-example-1
User Kyle Roux
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1 Answer

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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




User Eli Johnson
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