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.

Answer 1

When two parallel lines are intersected by a transversal, corresponding angles are equal. Given that angle 2 is labeled as 22°, the corresponding angles created at the other intersection with line T will also be 22°.

Since angles 2 and 6 are corresponding angles, angle 6 will be 22°. Additionally, angles 1 and 5 are alternate interior angles with respect to the transversal, so angle 5 will also be 22°.

Thus, the three angles that will also be 22° are: 5, 6, and 2.

So, the answer is: 5, 6, 2.