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.
The angles that are congruent to angle 22° are:
- Angle 5
- Angle 7
- Angle 6
To determine the other three angles that will be 22°, we need to use the concept of corresponding angles formed by a transversal passing through parallel lines.
Given that lines S and T are parallel and the transversal intersects them, we can conclude that angles 1 and 5 are corresponding angles. Therefore, if angle 5 is 22°, then angle 1 must also be 22°.
Next, we can observe that angle 6 and angle 2 are corresponding angles. Therefore, if angle 6 is 22°, then angle 2 must also be 22°.
Lastly, angle 3 and angle 7 are corresponding angles. So, if angle 3 is 22°, then angle 7 must also be 22°.
Therefore, the three other angles besides angle 5 that will also be 22° are angles 1, 2, and 7. Separating them with a comma, the three angles labeled 22° will be: 1, 2, and 7.
Based on the given information, we can determine the other three angles that will also be 22°. Parallel lines have corresponding angles that are equal, which means that angles 5 and 1 are corresponding angles.
Since angle 1 is labelled as 22°, it means that angle 5 will also be 22°.
Therefore, the other three angles that will be 22° are:
1, 5, and 22 degrees.