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Which of the following is not a measure of an angle in the figure below? Attached is a picture. Question 2. I am trying to explain to my son and I have no clue!

Which of the following is not a measure of an angle in the figure below? Attached-example-1
User Avisheks
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Option A) 27° is NOT a measure of an angle in the given figure.

Explanation:

From the given figure, it can be determined that line BE is a straight line.

We know that, the angle measure of a straight line is 180°

Therefore, (2x + 12)° + 2x° + 60° = 180°

4x + 72 = 180

4x = 180 -72

4x = 108

x = 108/4

x = 27°

The angle x is not mentioned in the figure shown. So, the option A) 27° is not the measure of the angle in the figure.

Now, check for other options whether they are the angles in the figure shown.

∠CFD = 2x° = 2*27 = 54° (option C is an angle in the figure)

∠CFB = (2x+12)° = 54+12 = 66° (option D is an angle in the figure)

∠BFA = (x+2)° = 27+2 = 29° (option B is an angle in the figure)

User Eye Patch
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