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Hunter-Best [27]
3 years ago
13

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

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

9514 1404 393

Answer:

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

Step-by-step 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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