Answer:
Option (D) is correct.
x= 76°
Step-by-step explanation:
Given a pair of parallel lines [tex]\overrightarrow{BD} \parallel \overrightarrow{XY}[/tex]
WE first name the figure as shown below,
And given measure of ∠UVD = 76°
We have to find the measure of x = ∠VWY
Since , [tex]\overrightarrow{BD} \parallel \overrightarrow{XY}[/tex] and U is a transversal then ,
∠UVD = 76° = ∠VWY =x (corresponding angles)
corresponding angles are those angles that are in same adjacent position matching corners when two parallel line are intersected by a transversal then corresponding angles are of equal measure.
Thus, x= 76°
Hence, Option (D) is correct.
