Compare Angles: Determining the Relationship Between Angle B and ACD in a 40° Parallel Line System

Question

Fill in the missing sign according to the diagram:

Angle B (?) angle ACD

00:00 Complete the missing sign

00:03 According to the given data, a right angle equals 90

00:09 Supplementary angle on the line, supplements to 180 therefore it's larger

00:14 And this is the solution to the question

According to the diagram, angle B is a right angle equal to 90 degrees.

If we look at angle ACD, we can see that it is larger than 90 degrees.

We can also calculate angle ACD since it is supplementary to 180 degrees:

$180=ACB+ACD$

$180=40+ACD$

$180-40=ACD$

$140=ACD$

Therefore:

$90 > 40$

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