Choose the missing sign from the statement below:
Angle CAE (?) angle E.
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Choose the missing sign from the statement below:
Angle CAE (?) angle E.
From the drawing, it appears that angle BAE is equal to 90 degrees, therefore it can be argued that angle CAE is less than 90 degrees.
If we look at angle E, we can see that it is greater than 90 degrees, therefore:
Indicates which angle is greater
While visual estimation helps, use geometric properties for accuracy. In this case, angle E is an exterior angle of the triangle, which must be greater than any non-adjacent interior angle like CAE.
An exterior angle is formed when you extend one side of a triangle. Here, angle E is formed by extending side AE beyond point E, making it exterior to triangle ABC.
Looking at the figure, angle CAE appears to be an acute angle (less than 90°) because it's formed within the triangle and looks smaller than a right angle.
Yes! Triangles can have equal angles (like isosceles triangles with two 60° angles), but in this problem, we're comparing an interior angle with an exterior angle, which are never equal.
Use the exterior angle theorem: any exterior angle of a triangle is always greater than either of the non-adjacent interior angles. This gives you the answer without measuring!
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