Question
Below are two parallel lines with a third line intersecting them.
Two parallel lines with a third line intersecting each line. Where the third line crosses the left most parallel line, the bottom, right most angle measure is 103 degrees. Where the third line crosses the right most parallel line, the top, right most angle measure is x degrees.
\[103^\circ\]
\[x^\circ\]
\[x = \]
\[^\circ\]
Two parallel lines with a third line intersecting each line. Where the third line crosses the left most parallel line, the bottom, right most angle measure is 103 degrees. Where the third line crosses the right most parallel line, the top, right most angle measure is x degrees.
\[103^\circ\]
\[x^\circ\]
\[x = \]
\[^\circ\]
Answers
GPT-4o mini
Given that there are two parallel lines and a third line (transversal) intersecting them, we can use the properties of angles formed by a transversal.
At the point where the third line intersects the leftmost parallel line, we have an angle measuring \(103^\circ\). Let's denote this angle as angle A.
Since the lines are parallel, the corresponding angle on the rightmost parallel line, where the third line intersects, will be equal to angle A. The corresponding angle that corresponds to angle A at the intersection with the rightmost parallel line would be equal, thus we can set:
\[
x = 103^\circ
\]
Therefore, the measure of angle \(x\) is:
\[
x = 103^\circ
\]
Thus the answer is:
\[
x = 103^\circ
\]
At the point where the third line intersects the leftmost parallel line, we have an angle measuring \(103^\circ\). Let's denote this angle as angle A.
Since the lines are parallel, the corresponding angle on the rightmost parallel line, where the third line intersects, will be equal to angle A. The corresponding angle that corresponds to angle A at the intersection with the rightmost parallel line would be equal, thus we can set:
\[
x = 103^\circ
\]
Therefore, the measure of angle \(x\) is:
\[
x = 103^\circ
\]
Thus the answer is:
\[
x = 103^\circ
\]