Question

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

Answer 1

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