Answer:
x=50°
Step-by-step explanation:
Angles In A Parallelogram
In a parallelogram, every pair of sides have the same lengths. As a consequence, the opposed angles are congruent.
We are given the shape of a parallelogram and need to find the angle x, knowing the opposed angle is 50°. We could simply answer x=50°, but let me show how it works by using the known geometric relation between angles opposed by the vertex.
In the image below we can see the projection of two of the sides of the parallelogram. They form an angle which, being opposed to the angle of 50° has the same value. But that angle is formed by two lines that happen to be parallel to the lines forming the angle x, so two angles formed by parallel lines are congruent.
We have that x=50°
