andrewsfogleman andrewsfogleman
  • 02-12-2020
  • Mathematics
contestada

please explain steps

please explain steps class=

Respuesta :

JennyTheBest813
JennyTheBest813 JennyTheBest813
  • 02-12-2020

Answer:

122º

Step-by-step explanation:

The interior angles of a heptagon add to 900º. We can write an equation and solve:

  • (12x-9)º+(9x+14)º+(133)º+(10x+9)º+(10x)º+(136)º+(10x+5)º=900º
  • Combine like terms, 51xº+288º=900º
  • Subtract, 51xº=612º
  • Divide, xº=12º

Now that we know x, we can find the measure of ∠B:

  • ∠B=9(12)+14=108+14=122º
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