Compare Angles BAC and BAE: Geometric Relationship Analysis

Question

Fill in the missing sign according to the diagram:

Angle BAC (?) angle BAE

00:00 Complete the missing sign

00:03 Cannot determine the size of BAC

00:09 Must be larger because the second angle is part of it

00:16 And this is the solution to the question

From the drawing, we can notice that we don't know the size of angle BAC

But if we pay attention, we'll see that angle BAE is equal to:

$BAC+CAE$

This means that angle BAE is necessarily larger than angle BAC since we are adding another angle to find its value.

Therefore:

$BAE>BAC$

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