In the picture, one angle is labeled 22 degrees and lines S and T are parallel. Which other three angles will be 22 degrees? Separate each angle number with a comma.
Since lines S and T are parallel, the two 22 degree angles formed by S and the transversal line form a pair of alternate interior angles. Similarly, the two other 22 degree angles formed by T and the transversal line also form a pair of alternate interior angles.
Therefore, the other three angles that will be 22 degrees are:
- The angle opposite to the labeled 22 degree angle (formed by line S and the transversal)
- The angle adjacent to the labeled 22 degree angle (formed by line T and the transversal)
- The angle opposite to the angle adjacent to the labeled 22 degree angle (formed by line S and the transversal)
Hence, the three angles are:
22 degrees, 22 degrees, 22 degrees