SOLUTION: What is the given and the to prove of "If one angle of a triangle is 90 degrees, then the other two add to 90 degrees"?

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Question 190529: What is the given and the to prove of "If one angle of a triangle is 90 degrees, then the other two add to 90 degrees"?
Answer by jim_thompson5910(28715) About Me  (Show Source):
You can put this solution on YOUR website!
Well, you could use the following property: the sum of the three angles of any triangle is 180 degrees.


So let x, y, and z be the three angles of a triangle


According to the given property, this means that x%2By%2Bz=180


Since " one angle of a triangle is 90 degrees", this means that we'll let x=90


x%2By%2Bz=180 Start with the given equation


90%2By%2Bz=180 Plug in x=90


y%2Bz=180-90 Subtract 90 from both sides


y%2Bz=90 Combine like terms.


So this shows that the sum of the other two angles is 90 degrees.