jg305676 jg305676
  • 01-04-2021
  • Mathematics
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Find the measure of angle F

Find the measure of angle F class=

Respuesta :

jimrgrant1 jimrgrant1
  • 01-04-2021

Answer:

∠ F = 80°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720

7x + 7x + 4x + 7x + 7x + 4x = 720

36x = 720 ( divide both sides by 36 )

x = 20

Then

∠ F = 4x = 4 × 20° = 80°

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