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vovangra [49]
3 years ago
7

I'm am very confused with this question.

Mathematics
1 answer:
stich3 [128]3 years ago
6 0

Answer:

  • 103°

Step-by-step explanation:

  • <em>This is a cyclic quadrilateral (all vertices on the same circle)</em>

<u>Opposite angles are supplementary:</u>

  • ∠A +  ∠C = 180°
  • ∠B +  ∠D = 180°

<u>Find x:</u>

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

<u>Find D:</u>

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

<u>Find B:</u>

  • ∠B = 180° - 77° = 103°
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