ramirezlissette067 ramirezlissette067
  • 24-12-2020
  • Mathematics
contestada

(6x – 30° and m
ZA and ZB are supplementary angles. If mZA
ZB (82 +28)º, then find the measure of ZA.

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sqdancefan
sqdancefan sqdancefan
  • 24-12-2020

9514 1404 393

Answer:

  48°

Step-by-step explanation:

Supplementary angles total 180°.

  m∠A +m∠B = 180°

  (6x -30)° +(8x +28)° = 180°

  14x = 182 . . . . . . . . . . . . . . . . divide by ° and add 2

  x = 13 . . . . . . . . . . . . . . . . . . . .divide by 14

Then the measure of angle A is ...

  m∠A = (6·13 -30)° = 6(13 -5)° = 6·8°

  m∠A = 48°

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