Question

. If mZJ= (7x + 13)", mZK = (83 - 2x), and
the sum of the measures of the angles is
141°, find the measure of each angle.

Answer 1

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°