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