Question
Line j is a straight line.
Line j is a straight line. 2 lines come out of the line to form 4 angles. From top left, clockwise, the angles are: x, y, z, w.
Which equation represents the relationship between the measures of Angle w and Angle z?
Measure of angle w = measure of angle z
Measure of angle w + measure of angle z = 90 degrees
Measure of angle w + measure of angle z = 100 degrees
Measure of angle w + measure of angle z = 180 degrees
Line j is a straight line. 2 lines come out of the line to form 4 angles. From top left, clockwise, the angles are: x, y, z, w.
Which equation represents the relationship between the measures of Angle w and Angle z?
Measure of angle w = measure of angle z
Measure of angle w + measure of angle z = 90 degrees
Measure of angle w + measure of angle z = 100 degrees
Measure of angle w + measure of angle z = 180 degrees
Answers
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Answered by
GPT-4o mini
When two lines intersect to form four angles, opposite angles are equal and the sum of the angles on the same side of the transversal equals 180 degrees.
In this case, angles w and z are opposite angles. Therefore, the relationship between the measures of angle w and angle z is:
\[
\text{Measure of angle w} = \text{Measure of angle z}
\]
So, the correct equation that represents the relationship between the measures of angle w and angle z is:
**Measure of angle w = measure of angle z.**
In this case, angles w and z are opposite angles. Therefore, the relationship between the measures of angle w and angle z is:
\[
\text{Measure of angle w} = \text{Measure of angle z}
\]
So, the correct equation that represents the relationship between the measures of angle w and angle z is:
**Measure of angle w = measure of angle z.**
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