Compare Angles BAC and E: Analyzing 40° Geometric Relationships

Question

Fill in the missing sign (?) according to the diagram:

Angle BAC ? angle E

00:00 Complete the missing sign

00:03 The sum of angles in a triangle equals 180 - subtract to find the angle

00:10 This is the size of the angle

00:13 According to the drawing, E is an obtuse angle, greater than 90

00:16 And this is the solution to the question

Fist let's look at triangle ABC, remembering that the sum of angles in a triangle equals 180 degrees.

In triangle ABC, we are given two angles: 40 and 90.

Therefore, we can calculate BAC as follows:

$BAC=180-90-40$

$BAC=50$

Now let's look at angle E, noting that it is greater than 90 degrees.

Therefore:

$E > BAC$

$>$