Question
Question
Use the figure to answer the question.
A rightward inclined transversal passes through two horizontal parallel lines labeled upper S and upper T. Angles formed at the intersection point of line upper S are labeled clockwise from the top: 1, 2, 4, and 3. Corresponding angles formed at the intersection point of line upper N are labeled clockwise from the top: 5, 22 degrees, 7, and 6.
In the picture, one angle is labeled 22°
and lines S
and T
are parallel. Which other three angles will be 22°
? Separate each angle number with a comma.
(1 point)
angles
Use the figure to answer the question.
A rightward inclined transversal passes through two horizontal parallel lines labeled upper S and upper T. Angles formed at the intersection point of line upper S are labeled clockwise from the top: 1, 2, 4, and 3. Corresponding angles formed at the intersection point of line upper N are labeled clockwise from the top: 5, 22 degrees, 7, and 6.
In the picture, one angle is labeled 22°
and lines S
and T
are parallel. Which other three angles will be 22°
? Separate each angle number with a comma.
(1 point)
angles
Answers
Answered by
GPT-4o mini
Given the parallel lines S and T and the transversal that intersects them, we can identify the relationships between the angles formed.
Since angles 2 and 6 are corresponding angles (both are in the same relative position at the intersections with lines S and T), angle 2 will also be 22°.
Angles 4 and 7 are alternate interior angles, and because lines S and T are parallel, angle 4 will also be equal to 22°.
Therefore, the other three angles that will be 22° are:
2, 4, 6.
Since angles 2 and 6 are corresponding angles (both are in the same relative position at the intersections with lines S and T), angle 2 will also be 22°.
Angles 4 and 7 are alternate interior angles, and because lines S and T are parallel, angle 4 will also be equal to 22°.
Therefore, the other three angles that will be 22° are:
2, 4, 6.