Which angle does not appear to have a measure of 23 degrees?

In each case we have a protractor and two rays that meet at the center of the protractor. So let's call the α the angle between the two rays, then if in one case , the that angle will not appear to have a measure of 23 degrees. In order to solve this problem let's check each case:

The first ray lies on angle while the second ray lies on angle . Then:

This angle measures 23 degrees.

The first ray lies on angle while the second ray lies on angle . Then:

This angle measures 23 degrees.

The first ray lies on angle while the second ray lies on angle . Then:

This angle doesn't measure 23 degrees.

The first ray lies on angle while the second ray lies on angle . Then:

This angle measures 23 degrees.

Conclusion: The angle that will not appear to have a measure of 23 degrees is the one for case H.

36 is the final answer! : )

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