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

Find The Measure Of XCY PLEASE HELP ME AND SHOW WORK class=

Sagot :

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°.

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