Find the adjacent corners of a parallelogram if the sum of the two angles of the parallelogram is 100 degrees.

According to the properties of a parallelogram, the sum of the degree measures of the angles of a parallelogram adjacent to one side of it is 180 degrees.

Since in our problem the sum of two angles of 100 degrees is given, this is the sum of two opposite angles, which are acute angles:

∠А = ∠С = 100/2 = 50 °.

Now we find the degree measures of the other two angles of this parallelogram:

∠В = ∠Д = 180 – ∠А;

∠В = ∠Д = 180 – 50 = 130 °.

Answer: the degree measures of the adjacent angles of the parallelogram are 50 ° and 130 °