anonymous
  • anonymous
What is the value of c?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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Directrix
  • Directrix
Theorem: If a quadrilateral is inscribed in a circle, then opposite angles of the quadrilateral are supplementary. The a degree angle and the 68 degree angle are opposite. a + 68 = 180 a = 112
1 Attachment
Directrix
  • Directrix
The angle with measure a is an inscribed angle of a circle. Theorem: The measure of an inscribed angle of a circle is 1/2 of its intercepted arc. The angle with measure a intercepts an arc (see attached diagram) with measure (b + 104).
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anonymous
  • anonymous
Oops I meant finding c would you go through the same process
Directrix
  • Directrix
That gives an equation to solve: 112 = 1/2 * (b + 104) @jadesterxx Solve for b and post what you get, okay?
anonymous
  • anonymous
60? @Directrix
Directrix
  • Directrix
60 is not correct. Does 112 = 1/2 * (60 + 104) ? 1/2 of 164 = 82 and not 112
anonymous
  • anonymous
Oh okay I got 120?
anonymous
  • anonymous
@Directrix
Directrix
  • Directrix
So, you changed the problem from b to c.
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Directrix
  • Directrix
The angle opposite the 71 degree angle has measure 109 because those two angles are supplementary.
Directrix
  • Directrix
The 109 degree angle is also an inscribed angle of a circle. 109 = 1/2 * (120 + x) @jadesterxx Solve for x. After that, one short subtraction step to c.
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Directrix
  • Directrix
Solve this for x is your task. 109 = 1/2 * (120 + x)
Directrix
  • Directrix
x = 98 To get c, solve this: 104 + 120 + 98 + c = 360 (360 degrees in a circle)
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Directrix
  • Directrix
@jadesterxx ^^^
anonymous
  • anonymous
So it would be 38?
Directrix
  • Directrix
That is what I got for the measure of arc c.
anonymous
  • anonymous
Thanks a lot! It really helped
Directrix
  • Directrix
You are welcome.
anonymous
  • anonymous
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