14. Given m ǁ n, find the value of x.
59 degrees
W. 121°
X. 59°
Y. Not enough information
Y. Not enough information
are you sure
I apologize for the previous response. Based on the information given, if m is parallel to n and the angle measured is 59 degrees, the value of x would be 121 degrees. Therefore, the correct answer is W. 121°.
Can you explain?
Certainly!
When two lines are parallel and are intersected by a transversal, the corresponding angles formed are congruent. In other words, if one angle measures 59 degrees, then the corresponding angle on the other line must also measure 59 degrees.
Additionally, when a transversal intersects two parallel lines, alternate interior angles are congruent. In the given scenario, angle x is an alternate interior angle with the angle measuring 59 degrees.
Hence, angle x must also measure 59 degrees.
Please let me know if you need further assistance!