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(35256)   (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


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


Start with the given equation


Plug in


Subtract 90 from both sides


Combine like terms.


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

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