# SOLUTION: Hi! I was wondering if you have a triangle on the shpere what is the range of values for the sum of the angles of a triangle on a sphere? I have seen this question posted before bu

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 Question 724659: Hi! I was wondering if you have a triangle on the shpere what is the range of values for the sum of the angles of a triangle on a sphere? I have seen this question posted before but I didn't understand it. Could you explain how you got the answer too. Thanks:) Answer by stanbon(60771)   (Show Source): You can put this solution on YOUR website! Hi! I was wondering if you have a triangle on the shpere what is the range of values for the sum of the angles of a triangle on a sphere? I have seen this question posted before but I didn't understand it. Could you explain how you got the answer too. ---- 180 degrees < sum of angles < 360 degrees ------ Draw a couple of pictures on a sphere. ---- # 1 Draw a base on the equator. Draw two sides that terminate in the north pole. Notice that the 2 base angles are both 90 degrees The vertex angle may be small but it is not zero. So the sum of the angles is greater than 180 degrees. ------------------------- #2 Draw a base on the equator. Draw two sides that are as far from one another as possible but do not form a semi-circle. The 2 base angles are both 90 degrees. The vertex angle is large but cannot be 180 degrees. So the sum of the angles is less than 2*90+180 = 360 degrees. ====================== Cheers, Stan H. ======================