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Unit 10 arc and angle measures i need help 9 and 10 ​

Unit 10 arc and angle measures i need help 9 and 10 ​-example-1

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Explanation:

9) Remember: when chords inside of a circle intersect the measure of the angle formed is equal to half the sum of the measures of the intercepted arcs.

5x -7 = 1/2 (27 + 119)

5x -7 = 73

5x = 80

x = 16

10) This is an inscribed angle ( vertex of the angle is on the circumference of the circle) ....this is a little different

this angle is 1/2 of the intercepted arc

intercepted arc = 2 x 78 = 156 degrees

the other arc is 360 - 156 = 204 degrees and is equal to 23x-3

23x-3 = 204

23x = 207

x = 9

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