The two pairs of alternate exterior angles formed by two parallel lines and a transversal are angle R and angle S, and angle X and angle Y. If the measure of angle R is 72 degrees, what is the measure of angle X?
R and X form a linear pair, so
R+X = 180
X = 108
thank you!!!
Since the two lines are parallel, the pairs of alternate exterior angles are congruent. So, if angle R measures 72 degrees, then angle X must also measure 72 degrees.
To find the measure of angle X, we need to understand the relationship between the pairs of alternate exterior angles.
When two parallel lines are intersected by a transversal, the alternate exterior angles are congruent. In other words, angle R is congruent to angle X.
Since the measure of angle R is given as 72 degrees, we can conclude that the measure of angle X is also 72 degrees.
Therefore, the measure of angle X is 72 degrees.