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musickatia [10]
3 years ago
6

. If mZJ= (7x + 13)", mZK = (83 - 2x), and

Mathematics
1 answer:
OLga [1]3 years ago
8 0

Answer:

  • m∠J = 76°
  • m∠K = 65°

Step-by-step explanation:

The sum of angle measures is ...

  (7x +13)° +(83 -2x)° = 141°

  5x +96 = 141 . . . . . collect terms, divide by °

  5x = 45 . . . . . . . . . subtract 96

  x = 9 . . . . . . . . . . . divide by 5

  7x +13 = 7·9 +13 = 76 . . . . . find m∠J

  m∠J = 76°

  m∠K = 141° -76°

  m∠K = 65°

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