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)

Answer 1

Given that lines S and T are parallel and that angle 2 is labeled as 22°, we can determine the other angles that are also 22° based on the properties of corresponding angles and alternate interior angles.

Here are the relationships:

• Angle 2 (22°) is a corresponding angle to angle 6. Therefore, angle 6 = 22°.
• Angle 1 and angle 5 are alternate interior angles to angle 2. Therefore, angle 1 = 22° and angle 5 = 22° as well.

So, the angles that are also 22° are: 1, 5, 6.