SOLUTION: in triangle RST an exterior angle at vertex S measures 100.if R=30 what is the longest side of the triangle

Question 550119: in triangle RST an exterior angle at vertex S measures 100.if R=30 what is the longest side of the triangle

Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
In a triangle the side opposite the largest angle is the largest side.
Also, interior angles are supplementary to their corresponding exterior angles. So S plus its exterior angle = 180.
S+100=180
S=80

The sum of the interior angles of a triangle is 180.
80+30+T=180
T=70

The longest side is the side opposite angle S, which is the largest angle. That side is RT.

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