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gulaghasi [49]
4 years ago
10

I need help with "Equation practice with angles Geometry" problem.​

Mathematics
1 answer:
Oksi-84 [34.3K]4 years ago
5 0

Answer:

  • x = 6°
  • ∠B = 126°

Step-by-step explanation:

The identical arc symbols on the two angles indicates the angles are congruent. Also, these are alternate interior angles where a transversal crosses lines marked as parallel, so they are congruent:

  ∠A = ∠B

  8x +78° = 2x +114° . . . . . substitute the given expressions

  6x = 36° . . . . . . . . . . . . . subtract 2x+78° from both sides

  x = 6° . . . . . . divide by 6

  ∠B = 2x +114° = 2·6° +114° . . . . . put the value of x into the expression

  ∠B = 126°

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