document.write( "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:) \n" ); document.write( "
Algebra.Com's Answer #443829 by stanbon(75887)\"\" \"About 
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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.
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\n" ); document.write( "180 degrees < sum of angles < 360 degrees
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\n" ); document.write( "Draw a couple of pictures on a sphere.
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\n" ); document.write( "# 1
\n" ); document.write( "Draw a base on the equator.
\n" ); document.write( "Draw two sides that terminate in the north pole.
\n" ); document.write( "Notice that the 2 base angles are both 90 degrees
\n" ); document.write( "The vertex angle may be small but it is not zero.
\n" ); document.write( "So the sum of the angles is greater than 180 degrees.
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\n" ); document.write( "#2
\n" ); document.write( "Draw a base on the equator.
\n" ); document.write( "Draw two sides that are as far from one another
\n" ); document.write( "as possible but do not form a semi-circle.
\n" ); document.write( "The 2 base angles are both 90 degrees.
\n" ); document.write( "The vertex angle is large but cannot be 180 degrees.
\n" ); document.write( "So the sum of the angles is less than 2*90+180 = 360 degrees.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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