<h2>
Answer:</h2><h2>
</h2><h3>Correct option: H</h3><h2>
</h2><h2>
Explanation:</h2><h2>
</h2>
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:
<h3>Case F.</h3><h3 />
The first ray lies on angle while the second ray lies on angle . Then:
<em>This angle measures 23 degrees.</em>
<h3>Case G.</h3><h3 />
The first ray lies on angle while the second ray lies on angle . Then:
<em>This angle measures 23 degrees.</em>
<h3>Case H.</h3><h3 />
The first ray lies on angle while the second ray lies on angle . Then:
<em>This angle doesn't measure 23 degrees.</em>
<em></em>
<h3>Case J.</h3><h3 />
The first ray lies on angle while the second ray lies on angle . Then:
<em>This angle measures 23 degrees.</em>
Conclusion: The angle that will not appear to have a measure of 23 degrees is the one for case H.