araceli9603
araceli9603 araceli9603
  • 18-08-2019
  • Mathematics
contestada

19. Find m
a.) 63
b.) 117
c.) 73
d.) 107

19 Find m a 63 b 117 c 73 d 107 class=

Respuesta :

carlosego
carlosego carlosego
  • 18-08-2019

For this case we have a pentagon shown, that is, it has 5 sides. By definition, the sum of the internal angles of a pentagon is given by:

540 degrees

So:

[tex]96 + 118 + 104 + x + 115 = 540\\433 + x = 540\\x = 540-433\\x = 107[/tex]

Now we have to:

[tex]A + x = 180\\A = 180-x\\A = 180-107\\A = 73[/tex]

Answer:

Option C

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