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I'm am very confused with this question.

I'm am very confused with this question.-example-1
User Kevinlu
by
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1 Answer

2 votes

Answer:

  • 103°

Explanation:

  • This is a cyclic quadrilateral (all vertices on the same circle)

Opposite angles are supplementary:

  • ∠A + ∠C = 180°
  • ∠B + ∠D = 180°

Find x:

  • x + 5 + x - 7 = 180°
  • 2x - 2 = 180°
  • 2x = 182°
  • x = 91°

Find D:

  • ∠D = x - 14°
  • ∠D = 91° - 14° = 77°

Find B:

  • ∠B = 180° - 77° = 103°
User NextThursday
by
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