halind3inkbuu halind3inkbuu
  • 25-11-2016
  • Mathematics
contestada

The exterior angles of a triangle measure x°, (2x)°, and (3x)°. What is the value of x?
A. 60
B. 72
C. 30
D. 45

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MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 27-11-2016
The exterior angles are made by extending the lines of the three sides. The angles that they form outside of the triangle are what we call the exterior triangles. However, since they are vertical angles, they are still congruent with their corresponding interior angles.

The total sum of interior angles of a triangle is 180 degrees. So,
180 = x + 2x + 3x
180 = 6x
x = 180/6
x = 30

The answer is C.
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