Answer:
x= 50°
Step-by-step explanation:
To find the value of x in the given figure, we can use the properties of parallel lines and transversal lines.
Given information:
- Lines a and b are parallel.
- Line c is a transversal.
When parallel lines are cut by a transversal, the following relationships hold:
1. Corresponding angles are equal.
2. Alternate interior angles are equal.
3. Alternate exterior angles are equal.
4. Interior angles on the same side of the transversal are supplementary.
In the given figure, we can see that the angle marked as x is an alternate interior angle with the angle marked as 50°.
Since alternate interior angles are equal when parallel lines are cut by a transversal, we can conclude that:
x = 50°
Therefore, the value of x is 50°.
