Answer:
Options A, C and E are true.
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.