contestada

An exterior angle of a triangle has a measure of 130 degree. The remote
interior angles in the ratio of 2:3. Find the measure of the largest angle of
the triangle.

Respuesta :

mhanifa

Answer:

  • 78°

Step-by-step explanation:

The exterior angle measure is same as he sum of remote interior angles and the adjacent interior angle make straight angle with the exterior angle

So the adjacent angle is:

  • 180 - 130 = 50°

The other angles are 2x and 3x as per ratio:

  • 2x + 3x = 130
  • 5x = 130
  • x = 130/5
  • x = 26

And

  • 2x =2*26 = 52°
  • 3x = 2*26 = 78°

So the angles are:

  • 50°, 52°, 78°

The largest angle is 78°

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