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vladimir2022 [97]
3 years ago
5

Need help on this please

Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0

9514 1404 393

Answer:

  71°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  ∠H = 180° -109° = 71°

_____

<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:

  ∠H = (1/2)(360° -2×109°)

  ∠H = 180° -109° = 71°

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