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Allushta [10]
3 years ago
9

X= A. 100 B. 50 C. 25​

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0

Answer:

b=50 central angle equal to the arc

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Answer:

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Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  ∠H = 180° -109° = 71°

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<em>Additional comment</em>

The above rule comes from the more general rule that the measure of an inscribed angle is half the measure of the arc it intercepts. Here, inscribed angle J intercepts arc GHI, so that arc has measure 2×109°. Then the measure of short arc GI is 360° -2×109°, and inscribed angle H is half that:

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  ∠H = 180° -109° = 71°

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