SOLUTION: http://postimg.org/image/6omaybq21/ I tried approximating angle measures and ended up getting the right answer, J. However, I feel this is incorrect and would like to know a bet

Question 987868: http://postimg.org/image/6omaybq21/
I tried approximating angle measures and ended up getting the right answer, J. However, I feel this is incorrect and would like to know a better way of solving it.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

use:
Inscribed angle theorem.
The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
so, angle �
now, in right angle triangle , if you connect and, the other two angles will be � each
then we have triangle where one angle is � and other two angles are and
if so, then the sum of all angles in a triangle is:

�
so, your answer is: J. �

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