SOLUTION: Given: (triangle) EFG is a right traingle (angle) G is a right angle Prove: mesure of angle E < 90

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Question 118452This question is from textbook Texas Geometry
: Given: (triangle) EFG is a right traingle
(angle) G is a right angle
Prove: mesure of angle E < 90 This question is from textbook Texas Geometry

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Given: (triangle) EFG is a right traingle
(angle) G is a right angle
Prove: mesure of angle E+%3C+90%B0
The sum of the three angles of any triangle is 180 degrees, so
E+%2B+F+%2B+G+=+180%B0
since G+=+90%B0...=>.... the sum of the other two angles is also 90%B0, or
E+%2B+F+=+90%B0...=>...E must be less then 90%B0, or
E+%3C+90%B0