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Can you please help me

Can you please help me-example-1

1 Answer

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9514 1404 393

Answer:

  • x = 95°
  • y = 75°
  • arc ABC = 150°

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°

User Gmr
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