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

Find the value of X. Write your answer as a decimal.-example-1
User Warmanp
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1 Answer

2 votes

Answer:

68.5

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

User Keylee
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