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

Answer 1

Given that lines S and T are parallel and the transversal creates corresponding angles, we can deduce which angles are equal to 22°.

The angles are labeled as follows at the intersection points:

• At line S: angles 1, 2, 4, and 3
• At line T: angles 5, 22°, 7, and 6

The corresponding angles for angle 22° (located at line T) are:

• Angle 4 (which is corresponding to angle 22° at the intersection with line T)
• Angle 6 (which is opposite to angle 22° at line T)
• Angle 2 (which is vertically opposite to angle 22° at line S)

Therefore, the angles that will also be 22° are:

4, 6, 2