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 ___
GIVE ME THE CORRECT ANSWER
angles 5, 7, 6
From the given information, we know that Angle 5 is labeled as 22 degrees. Since lines S and T are parallel, Angle 5 and Angle 1 are corresponding angles. Corresponding angles formed by a transversal passing through parallel lines are equal.
Therefore, Angle 1 will also be 22 degrees.
The other two angles that will be 22 degrees are Angle 7 and Angle 3. These angles are alternate interior angles formed by the transversal passing through parallel lines.
So, the three other angles that will also be 22 degrees are: 1, 3, and 7.
To find the three other angles that will be 22°, we can use the fact that corresponding angles formed by a transversal and parallel lines are congruent.
In the given figure, angle 5 is labeled 22°. Since angle 5 and angle 1 are corresponding angles, we can conclude that angle 1 is also 22°.
Similarly, angle 7 is labeled 22°. So, angle 3, which is corresponding to angle 7, will also be 22°.
Now, let's look at angle 6 which is labeled 22°. Angle 2 and angle 6 are corresponding angles, so we can conclude that angle 2 is also 22°.
Therefore, the three other angles that will be 22° are: 1, 2, and 3.
So, the answer to the question is: angles 1, 2, and 3 will be 22°.