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ABCD is a cyclic quadrilateral in which angle ° and angle °. What is the measure of angle A?

Competition practiceGeometry
  • A88°
  • B34°
  • C92°
  • D100°

Step-by-Step Solution

Opposite angles of a cyclic quadrilateral are supplementary, so , giving and . Then angle °, and angle °, which checks out since 92 + 88 = 180.
Answer: C) 92°

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