Math, asked by Anonymous, 11 months ago

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Can you prove that angle C is the sum of angles A and B?​

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Answered by Anonymous
5

ÊLLØ'....!!

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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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