Triangles Unit Test

Question

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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
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Answer 1

When a transversal intersects two parallel lines, several pairs of angles are formed that are either congruent or supplementary. Given that angle 2 is labeled as 22°, we can identify the corresponding angles.

Given the angles at the intersection points of lines S and T:

• Angles at line S: 1, 2 (22°), 4, and 3.
• Angles at line T: 5, 22°, 7, and 6.

Because the lines S and T are parallel, angles that occupy the same relative position at each intersection are equal. Therefore:

• Angle 2 corresponds to angle 6.
• Angle 4 corresponds to angle 5.
• Angle 1 corresponds to angle 3.

Thus, if angle 2 is 22°, the angles that will also be 22° are angles: 6, 4, and 5.

So the final answer is: 6, 4, 5.