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1. Solomon says, "I have drawn a triangle. It has one angle of 30° and another
angle of 40°. Adeline, you draw a triangle with the same two properties."

Adeline says, "My triangle will be congruent to yours because all triangles that

have those two properties must be congruent."

Is Adeline correct to say that all triangles with these two properties must be

congruent? Explain your answer. Use la drawing if needed.

Sagot :

Triangles = 180 degrees
Angle 1 = 30 degrees
Angle 2 = 40 degrees
Therefore 180 - 30 - 40 = 110 degrees = Angle 3

It is correct that given two angles of a triangle, the third angle must be 180 degrees - the other two angles. So Adeline’s triangle will have the same angles.

However, Solomon’s triangle & Adeline’s triangle could be vastly different sizes. And since that’s possible, the two triangles cannot be guaranteed to be congruent.
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