trinity2029 trinity2029
  • 09-10-2020
  • Mathematics
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This is confusing I need help .

This is confusing I need help class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 10-10-2020

Answer:

  • x = 54
  • angle ACD = 124°

Step-by-step explanation:

The rule is that the exterior angle (ACD) is equal to the sum of the remote interior angles (the two marked angles on the right).

You are expected to use this relation to write and solve an equation.

  exterior angle = angle D + angle B

  (2x +16) = 58 + (x+12)

  2x +16 = x +70

  x + 16 = 70

  x = 54

Then angle ACD is ...

  angle ACD = (2x +16)° = (2·54 +16)°

  angle ACD = 124°

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