Use the figure to answer the question.

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
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Answer 1

Since lines \( S \) and \( T \) are parallel and a transversal intersects them, corresponding angles are equal.

Given that the angle labeled \( 22^\circ \) is at the intersection point of line \( T \), we can find the corresponding angles:

1. Angle \( 6 \) is a corresponding angle to \( 22^\circ \) (since they are in the same position relative to the transversal).
2. Angle \( 4 \) is a corresponding angle to angle \( 22^\circ \) (they are on the same side of the transversal).
3. Angle \( 7 \) is also on the same side of the transversal and corresponds to angle \( 2 \) but is not equal to \( 22^\circ \).

The three angles that are \( 22^\circ \) are:

• Angle \( 6 \)
• Angle \( 1 \) (as it corresponds to angle \( 5 \))
• Angle \( 4 \)

Thus, the answer is: 6, 1, 4.