emmasue202
emmasue202 emmasue202
  • 17-03-2020
  • Mathematics
contestada

Find the value of X. Write your answer as a decimal.

Find the value of X Write your answer as a decimal class=

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sqdancefan
sqdancefan sqdancefan
  • 19-03-2020

Answer:

  68.5

Step-by-step explanation:

Angles DEC and DAC are right angles, so their sum is 180°. DECA is a quadrilateral, which has a sum of interior angles equal to 360°. Then angle ACE is the supplement of angle D:

  ∠ACE = 180° -43° = 137°

Inscribed angle ABE has half the measure of central angle ACE, so we have ...

  x° = 137°/2

  x = 68.5

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