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Question 1

Question 2

Explanation:

ZX is the diameter of the circle with center A.

$\therefore m\angle YAZ + m\angle XAY = 180°\\\therefore (5w+4)°+(11w)°= 180°\\\therefore (16w+4)° = 180°\\\therefore 16w+4 = 180\\\therefore 16w = 180 - 4\\\therefore 16w = 176\\\therefore w = (176)/(16)\\\therefore w =11\\ \therefore m\angle YAZ = (5w+4)°\\\therefore m\angle YAZ = (5* 11+4)°\\\therefore m\angle YAZ = (55+4)°\\\therefore m\angle YAZ = 59°\\\because \overset{\frown}{YZ) = m\angle YAZ\\\therefore \overset{\frown}{YZ) = 59°\\$

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