Final Answer:
If lines s and t are parallel and one angle measures 22°, then the other three angles that will also measure 22° are the corresponding angles to the given angle, the alternate interior angle, and the alternate exterior angle.
Step-by-step explanation:
When a pair of parallel lines is intersected by a transversal, such as lines s and t in this scenario, several angle relationships arise. The angle labeled as 22° is an angle formed by the intersection of lines s and t. Given that lines s and t are parallel, the angle labeled 22° is called the corresponding angle to the given angle. Corresponding angles are congruent when lines are parallel, meaning they have equal measures.
Additionally, when a transversal intersects two parallel lines, the angles that lie on opposite sides of the transversal and inside the parallel lines are called alternate interior angles. In this case, the angle labeled 22° is an alternate interior angle, and its corresponding angle on the other side of the transversal will also measure 22° due to the property of alternate interior angles being congruent.
Moreover, the angle formed on the outside of the parallel lines and on the opposite side of the transversal from the given angle is called an alternate exterior angle. The alternate exterior angle to the angle labeled 22° will also measure 22° because alternate exterior angles formed by a transversal intersecting parallel lines are congruent.
Hence, in this scenario where lines s and t are parallel, the angle measuring 22° has corresponding, alternate interior, and alternate exterior angles, all of which will also measure 22° due to the properties of angles formed when parallel lines are intersected by a transversal.