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3 years ago

Can you please help me

Mathematics

1 answer:

krek1111 [17]3 years ago

6 0

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

Using the second relation, ...

x = 180° -85° = 95°

y = 180° -105° = 75°

Using the first relation, ...

arc ABC = 2y = 2(75°) = 150°

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