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°