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Answer:
x = 7
Explanation:
An angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc.
12x - 4 = 1/2(22x + 6)
12x - 4 = 11x + 3
12x - 11x = 3 + 4
x=7°
We have:
the angle of tangency is half of the measure of the arc formed on the same side.
so
(12x-4)°=½*(22x+6)°
12x-4=11x+3
12x-11x=4+3