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SOMEONE PLEASE HELP ME WITH THIS QUESTION ASAP AND SHOW WORK

SOMEONE PLEASE HELP ME WITH THIS QUESTION ASAP AND SHOW WORK-example-1

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Answer:

m∠XCY = 60°

Explanation:

From the figure attached,

Circle has been given with the inscribed angles ∠XWY and ∠XCY formed by the same arc XY.

By the property of the inscribed angles,

"Measure of the inscribed angle formed by the same arc are equal"

m∠XWY ≅ m∠XCY

60x = 61x - 1

61x - 60x = 1

x = 1

Therefore, m∠XCY = 61x - 1

= 61(1) - 1

= 60°

User Justyna
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