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

Which angle does not appear to have a measure of 23 degrees?-example-1
User Tony Tarng
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1 Answer

3 votes

Answer:

Correct option: H

Step-by-step explanation:

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
\alpha \\eq 23^(\circ), the that angle will not appear to have a measure of 23 degrees. In order to solve this problem let's check each case:

Case F.

The first ray lies on angle
0^(\circ) while the second ray lies on angle
23^(\circ). Then:


\alpha=23^(\circ)-0^(\circ)=23^(\circ)

This angle measures 23 degrees.

Case G.

The first ray lies on angle
87^(\circ) while the second ray lies on angle
110^(\circ). Then:


\alpha=110^(\circ)-87^(\circ)=23^(\circ)

This angle measures 23 degrees.

Case H.

The first ray lies on angle
57^(\circ) while the second ray lies on angle
85^(\circ). Then:


\alpha=85^(\circ)-57^(\circ)=28^(\circ)

This angle doesn't measure 23 degrees.

Case J.

The first ray lies on angle
105^(\circ) while the second ray lies on angle
128^(\circ). Then:


\alpha=128^(\circ)-105^(\circ)=23^(\circ)

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.

User Befall
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