SOLUTION: What is the value of c? (The picture of the circle is in the link below): https://www.founderseducation.net/assets/images/84e9774a7a34720147b8049cfd04dc7a5795ec5c.png

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Question 1180923: What is the value of c? (The picture of the circle is in the link below):
https://www.founderseducation.net/assets/images/84e9774a7a34720147b8049cfd04dc7a5795ec5c.png
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!

.
d = 2 *65 =130 ( measure of arc = 2* inscribed angle)
b= 2*29 = 58
b+d = 188
a+c = =360-188 = 172
b =d congruent arcs
b=d = 188/2 = 94

Answer by ikleyn(52787)   (Show Source):
You can put this solution on YOUR website!
.

            @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,   a = c = 188°/2 = 94°.              ANSWER

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