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Consider the figure shown below. Find the value of each variable mentioned in the figure below​

Consider the figure shown below. Find the value of each variable mentioned in the-example-1
User MetalFrog
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  • a = 26, b = 64, c = 42

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The measure of an inscribed angle is half the measure of the intercepted arc:

  • a = 52/2 = 26,
  • c = 84/2 = 42.

Angles a and b sum to a right angle since inscribed between the tangent and diameter.

Then we have:

  • a + b = 90
  • 26 + b = 90
  • b = 90 - 26
  • b = 64

User Balaji Reddy
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