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For an indirect proof, what must first be assumed to prove that angle X is a right angle?

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Final answer:

In an indirect proof to show that angle X is a right angle, start by assuming the opposite, that angle X is not a right angle. This will lead to a contradiction using the Pythagorean theorem or trigonometric relationships, thus proving the original statement.

Step-by-step explanation:

When attempting an indirect proof (also known as proof by contradiction) to demonstrate that angle X is a right angle, you begin by assuming the opposite of what you are trying to prove. In this case, you assume that angle X is not a right angle. This assumption then leads to a logical contradiction when you use facts, definitions, and theorems such as the Pythagorean theorem or trigonometric relationships. By reaching a contradiction, you affirm the correctness of the original statement—that angle X is indeed a right angle.

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