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3 years ago

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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