9514 1404 393
Answer:
a. x = 60
b. y = 93
Step-by-step explanation:
The relevant relations are ...
- external angle A is half the difference of intercepted arcs BC and BD
- inscribed angle y° is half the measure of intercepted arc CD
- the sum of arcs of a circle is 360°
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Using these relations, we have ...
A = (BC -x°)/2
x° = BC -2A = 114° -2(27°)
x° = 60°
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y° = CD/2 = (360° -BC -BD)/2 = (360° -114° -60°)/2
y° = 93°
