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Can you prove that angle C is the sum of angles A and B?
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ÊLLØ'....!!
Construct the additional squares indicated by dotted lines.
Angle C is the same as the sum of angles A and D, since they are both made by cutting a square in half along the diagonal.
Angle B equals angle D because they are corresponding angles of similar right triangles (made by cutting a rectangle made from two squares in half along the diagonal).
That means B can be substituted for D, which automatically makes the C equals the sum of A and B.
THÅÑKẞ...!!
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