ambereve04
ambereve04 ambereve04
  • 19-04-2021
  • Mathematics
contestada

A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. explain answer please

A quadrilateral is inscribed in a circle Find the measure of each missing angle as labeled below explain answer please class=

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sqdancefan
sqdancefan sqdancefan
  • 19-04-2021

9514 1404 393

Answer:

  • C = 95°
  • D = 72°
  • F = 108°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. Inscribed angles are half the measure of the arc they subtend. (The latter statement can be used to prove the former one.)

Using these relations, we have ...

  C = 180° -E = 180° -85° = 95°

  D = 144°/2 = 72°

  F = 180° -D = 180° -72° = 108°

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