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weqwewe [10]
3 years ago
13

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

Mathematics
1 answer:
finlep [7]3 years ago
8 0

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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