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
Algebra.Com
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.
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