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Leto [7]
3 years ago
6

What is it.................

Mathematics
2 answers:
monitta3 years ago
6 0

<u>Answer:</u>

  • The value of ∠F is 48°.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

  • 8x - 18 + 6x - 4 + 5x - 7 = 180
  • ∠F = 5x - 7

<u>Work:</u>

  • 8x - 18 + 6x - 4 + 5x - 7 = 180
  • => 19x - 29 = 180
  • => 19x = 209
  • => x = 209/19
  • => x = 11
  • => 5x - 7
  • => 5(11) - 7
  • => 55 - 7
  • => <u>48</u>

Hence, the value of ∠F is 48°.

Hoped this helped

BrainiacUser1357

Lera25 [3.4K]3 years ago
5 0

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180

8x -18 + 6x - 4 + 5x - 7 = 180

8x + 6x + 5x - 18 - 4 - 7 = 180

Combine like terms

19x -  29 = 180

Add 29 to both sides

19x = 180 +29

19x = 209

Divide both sides by 19

x = 209/19

x = 11

∠F = 5x - 7

      = 5*11 - 7

      = 55 - 7

∠F = 48°

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