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Help please. thanks if you do​

Help please. thanks if you do​-example-1

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Answer:

  • m∠BGF = 80°

Explanation:

As per diagram, the angles BGC and CGF are marked as congruent.

It gives us:

  • ∠BGC ≅ ∠CGF or
  • 7x - 2 = 8x - 8

Solve it for x:

  • 8x - 7x = 8 - 2
  • x = 6

Find the angle measures:

  • m∠BGC = m∠CGF = 7*6 - 2 = 42 - 2 = 40

To find the measure of ∠BGF consider the angle addition:

  • m∠BGF = ∠BGC + ∠CGF
  • m∠BGF = 40 + 40 = 80

User Roy Lin
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