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Help please? Find the values of a,b,c,d,e and f

Help please? Find the values of a,b,c,d,e and f-example-1

1 Answer

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Answer:

  • a = 30
  • b = 15
  • c = 3
  • d = 30
  • e = 10
  • f = 20

Explanation:

The acute angles are all 60°, and the obtuse angles are all the supplement of that, 120°.

Working from the left, we have ...

a +30 = 60 ⇒ a = 30

30 +2b = 60 ⇒ b = 15

5b -5c = 60 ⇒ 15 -c = 12 ⇒ c = 3

10c +d = 60 ⇒ d = 30

2d +6e = 120 ⇒ 60 +6e = 120 ⇒ e = 10

4f +4e = 120 ⇒ f +10 = 30 ⇒ f = 20

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