SOLUTION: Does anyone know how to find the size of an angle if you're given the measure of an arc? The angle is formed by a diameter and a secant inside of a circle.

Question 32946: Does anyone know how to find the size of an angle if you're given the measure of an arc? The angle is formed by a diameter and a secant inside of a circle.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the measure of the arc is x degrees, the measure of your angle is x/2 degrees.
Draw the picture you described; Draw a central angle that subtends the
same arc. The triangle formed is equilateral because two of the sides
are radii. The supplementary angle at the center is 180-x degrees.
Your angle is 1/2(180-(180-x))= (1/2)x degrees.
Cheers,
Stan H>
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