Which statements about about the diagram are true? check all that apply .

Options A, C and E are true.

Step-by-step explanation:

A. x = 63° [Alternate angles]

Therefore this option is true.

B. In the triangle formed at the center opposite angle of 63° will be same as 63°. Measure of second angle is 47°.

Therefore y = 180 - (63 + 47) = 180 - 120 = 60°

Therefore option B. is incorrect.

C. ∠ Z + 63 = 180 [ supplementary angles]

∠ Z = 180 - 63 = 117°

This option is true.

D. Since ∠ Y = 60° and ∠ Z = 117°

Therefore ∠ Y + ∠ Z = 60 + 117 = 177°

This option is not correct.

E. Since ∠ x = 63° and ∠ Z = 117°

Therefore ∠ x + ∠ z = 63 + 117 = 180°

So the option is true.

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