9514 1404 393
Answer:
- x = 95°
- y = 75°
- arc ABC = 150°
Step-by-step explanation:
The relevant relations are ...
- an inscribed angle is half the measure of the arc it intercepts
- opposite angles of an inscribed quadrilateral are supplementary
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Using the second relation, ...
x = 180° -85° = 95°
y = 180° -105° = 75°
Using the first relation, ...
arc ABC = 2y = 2(75°) = 150°
