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LT 11.6: Use angle measures formed by lines that intersect circles to solve problems.
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Math Humor Q: Why was the chord upset with the tangent after their race? A: They came in secant!
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Example 1 Find each measure. mFH 65˚ ˚ ½(130)
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Example 2 Find each angle measure. mRNM 22˚ 1/2 [360 – ( )]
![Example 2 Find each angle measure. mRNM 22˚ 1/2 [360 – ( )]](http://slideplayer.com./slide/16918237/97/images/6/Example+2+Find+each+angle+measure.+m%EF%83%90RNM+22%CB%9A+1%2F2+%5B360+%E2%80%93+%28+%29%5D.jpg "Example 2 Find each angle measure. mRNM 22˚ 1/2 [360 – ( )]")
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Example 3 Find the value of x. 33˚ 25 = 1/2 [83 – x] 50 = 83 –x x = 33
![Example 3 Find the value of x. 33˚ 25 = 1/2 [83 – x] 50 = 83 –x x = 33](http://slideplayer.com./slide/16918237/97/images/8/Example+3+Find+the+value+of+x.+33%CB%9A+25+%3D+1%2F2+%5B83+%E2%80%93+x%5D+50+%3D+83+%E2%80%93x+x+%3D+33.jpg "Example 3 Find the value of x. 33˚ 25 = 1/2 [83 – x] 50 = 83 –x x = 33")
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Example 4 In the company logo shown, = 108°, and = 12°. What is mFKH? 48˚ 1/2 [108 – 12] x = 48
![Example 4 In the company logo shown, = 108°, and = 12°. What is mFKH 48˚ 1/2 [108 – 12]](http://slideplayer.com./slide/16918237/97/images/9/Example+4+In+the+company+logo+shown%2C+%3D+108%C2%B0%2C+and+%3D+12%C2%B0.+What+is+m%EF%83%90FKH+48%CB%9A+1%2F2+%5B108+%E2%80%93+12%5D.jpg "x = 48.")
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Example 5 Find mLP
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![Warm-up Solve the equations 4c = 180 ½ (3x+42) = 27 8y = ½ (5y+55) 120 = ½ [(360-x) – x] c= 45 x=4 y=5 x=60.](/27/9211823/big_thumb.jpg "Warm-up Solve the equations 4c = 180 ½ (3x+42) = 27 8y = ½ (5y+55) 120 = ½ [(360-x) – x] c= 45 x=4 y=5 x=60.>")
