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Complementary angles add up to ninety degrees. Triangles must hold 180.

Taking these facts together, think of this: you have two angles in a triangle where they add up to ninety. This means that the other angle in the triangle must hold the other ninety.

I'm not going to answer your question, but I'll pose you the question you should have asked: What is a triangle called when it has one angle that is exactly ninety degrees?

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Q: How is it call a triangle with two angles that are complementary?
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