The measure of angle ACB is 12 degrees if A and B are on a circle and vertex C outside it option (d) is correct.
What is a circle?
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
Angle CBA = 64 degree
arc XA = 2(64) = 128 degrees.
Hence,
m∠ACB = 1/2[(152 - 128)]
m∠ACB = 1/2(24)
m∠ACB = 12°
Thus, the measure of angle ACB is 12 degrees if A and B are on a circle and vertex C outside it option (d) is correct.
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