Respuesta :

Answer:

Exterior angle = 75 degrees

Step-by-step :

180 - (2x + 15) = (adjacent angle to the exterior angle. Linear pair)

180 - 2x - 15 + 45 + x = 180 (interior angles of a triangle)

-2x + 30 + x = 180 - 180

-x + 30 = 0

30 = x

Exterior angle: 2(30) + 15 = 75 degrees

Answer:

  • The measure of the exterior angle is 75°

Step-by-step explanation:

We know that:

  • 45 + x + (180 - 2x + 15) = 180

Work:

  • 45 + x + (180 - 2x - 15) = 180
  • => 45 + x + 180 - 2x - 15 = 180
  • => 210 - x = 180
  • => 210 - 180 = x
  • => 30 = x

Now, let's substitute the value of x into the expression.

  • 2(30) + 15
  • => 60 + 15
  • => 75

Hence, the measure of the exterior angle is 75°

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