document.write( "Question 626397: prove that if the two sides of an angle are perpendicular to the sides of another angle , then the angles are either equal or supplementary. \n" ); document.write( "
Algebra.Com's Answer #394186 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The sides of ∠BAC are AB and AG\r\n" );
document.write( "The sides of ∠GEC are EB and EG\r\n" );
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document.write( "AB⊥EB\r\n" );
document.write( "AG⊥EG\r\n" );
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document.write( "I'll just tell you how to prove it.  You will have to write\r\n" );
document.write( "your own two-column proof.\r\n" );
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document.write( "It's easy to prove ᐃABC∼ᐃEGC\r\n" );
document.write( "because they are right triangles and \r\n" );
document.write( "∠ACB = ∠FCG, so the third angles \r\n" );
document.write( "∠BAC = ∠GEC.\r\n" );
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document.write( "So that's the case when they are both\r\n" );
document.write( "acute angles.   \r\n" );
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document.write( "The reason the \"or supplementary\" has to be in the theorem is because:\r\n" );
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document.write( "1. what is true about the sides being perpendicular for acute angle\r\n" );
document.write( "∠BAC is also true for its supplementary obtuse angle ∠DAC.\r\n" );
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document.write( "and similarly\r\n" );
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document.write( "2. what is true about the sides being perpendicular for acute angle \r\n" );
document.write( "∠GEC is also true for its supplementary obtuse angle ∠FEG.\r\n" );
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document.write( "If you have any questions, ask me in the thank-you note and I'll get\r\n" );
document.write( "back with you.\r\n" );
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document.write( "Edwin
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