Answer:
See below
Explanation:
11. This is a tangent-chord angle, which means the angle is half of the measure of its intercepted arc.
7x - 10 = (1/2) * 120
7x - 10 = 60
7x = 70
x = 10
12. This is a chord-chord angle, which means the angle is half of the sum of the measures of the arcs intercepted by the chord-chord angle and its vertical angle.
26x - 2 = (1/2) * (131 + 18x + 1)
26x - 2 = (1/2) * (18x + 132)
26x - 2 = 9x + 66
17x = 68
x = 4
13. This is a secant-tangent angle, which means the angle is half of the difference between the measures of the intercepted arcs.
5x - 5 = (1/2) * (190 - (13x - 7))
5x - 5 = (1/2) * (197 - 13x)
10x - 10 = 197 - 13x
23x = 207
x = 9
14. This is also a secant-tangent angle.
2x + 14 = (1/2) * (6 + 14x - 58)
2x + 14 = (1/2) * (14x - 52)
2x + 14 = 7x - 26
5x = 40
x = 8
Hope this helps!