Fill in the missing sign according to the diagram:
Angle BAC (?) angle BAE
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Fill in the missing sign according to the diagram:
Angle BAC (?) angle BAE
From the diagram, we can see that we don't know the size of angle BAC.
However, we should be able to work out that angle BAE is equal to .
This means that angle BAE must be larger than angle BAC, since we are adding another angle to find its value.
Therefore:
Indicates which angle is greater
You can use angle relationships! When one angle is part of another (like BAC is part of BAE), the larger angle will always be greater than the smaller one.
This means angle BAE is made up of two parts: angle BAC plus angle CAE. Since we're adding a positive angle to BAC, the result (BAE) must be larger.
No! The 40° angles show this is a rectangle, but they don't affect the comparison between angles BAC and BAE. Focus on the angle addition relationship instead.
Look at the rays! Ray AC is between rays AB and AE, so angle BAC is contained within the larger angle BAE.
Never rely on visual appearance alone! Use mathematical reasoning. Since BAE = BAC + CAE and CAE is a positive angle, BAE must be greater than BAC.
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