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.

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:

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

And

So the angles are:

The largest angle is 78°

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