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)

Answer 1

If lines S and T are parallel and a transversal intersects them, then corresponding angles and alternate interior angles will be equal.

Given that angle 2 is labeled 22°, the angles that will also measure 22° are:

• Angle 6 (corresponding angle to angle 2 at the intersection with line T)
• Angle 4 (alternate interior angle to angle 2)
• Angle 5 (corresponding angle to angle 6 at the intersection with line S)

Thus, the other three angles that will also measure 22° are: 6, 4, 5.

So the answer is: 6, 4, 5.