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  • 07-06-2022
  • Mathematics
contestada

If a +b+c+d+e= 576°, find the value
of angle f. Give your answer in degrees (°).

Respuesta :

31507
31507 31507
  • 07-06-2022

Answer:

f = 144 degrees

Step-by-step explanation:

Since there are 6 angles (a,b,c,d,e,f), this means that it is a 6-sided polygon. The formula to find the total sum of interior angles is (n-2)*180, n being the amount of sides.
Let's plug it into the formula: (6-2)*180 = 720
This means that a+b+c+d+e+f = 720, but we can substitute (a+b+c+d+e) for 576.
576+f=720
f = 144 degrees

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