Question

Find the measure of XCY. PLEASE HELP ME AND SHOW WORK

Answer 1

Answer:

Measure of angle XCY is 60°.

Step-by-step explanation:

"Measure of all inscribed angles by the same arc in one segment of the circle are equal"

Using this property in the given circle,

m∠XWY = m∠XCY

60x = 61x - 1

61x - 60x = 1

x = 1

By substituting the value of 'x' in the measure of ∠XCY,

m∠XCY = 61x - 1

             = 61(1) - 1

             = 61 - 1

             = 60°

Therefore, measure of angle XCY is 60°.