Answer:
X = 87°
Step-by-step explanation:
- When two lines intersect, the vertically opposite angles so formed are equal.
- If two parallel lines are intersected by a transversal,
- Each pair of corresponding angles is equal.
- Each pair of alternate interior angles is equal.
- Each pair of interior angles on the same side of the transversal is supplementary.
Step 1:
The angle 87° given in the figure and ∠UWV form vertically opposite angles.
We know that vertically opposite angles are equal,
∴ ∠UWV = 87°
Step 2:
∠UWV and x form a pair of corresponding angles, when transversal Y intersects the two parallel lines.
Since corresponding angles are equal,
x = ∠UWV
∴ x = 87°
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