Question 1180923
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            @amanth started his solution in a right way,  but completed it in absolutely  WRONG  mode : 

            his/her two last lines are   INCORRECT.


            So,  I  came to bring a correct solution,  from the beginning to the end.



                          I will refer to the plot from @mananth post.




d = 2 *65 =130°      ( measure of arc = 2* inscribed angle)


b = 2*29 = 58°


b + d = 130° + 58° = 188°


a + c = =360° - 188° =  172°


a = c       (these arcs are congruent because the chords subtending the arcs are congruent)


Hence,  &nbsp;&nbsp;a = c = 188°/2 = 94°.  &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <U>ANSWER</U>


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Solved.



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Keep in mind that the picture in your original plot is/was shown not in the scale;


in particular,  &nbsp;the angles that are acute by their labeled measures, &nbsp;are shown in the picture as obtuse.