Question

2 congruent triangles are connected at one side to form a parallelogram. The triangles have angle measures of 140 degrees and 20 degrees. The parallelogram on the left is formed using two congruent triangles. What is the sum of the interior angles of this parallelogram? The sum of the interior angles is °.

Answer 1

The sum of the interior angles of a parallelogram formed by two congruent triangles is always 360 degrees.

Step-by-step explanation:

The question asks about the sum of interior angles of a parallelogram formed by two congruent triangles. First, remember that the sum of angles in any triangle is always 180 degrees.

Since each of the two congruent triangles has angles that sum up to 180 degrees, the combined angles when these triangles form a parallelogram would be 360 degrees.

This is because a parallelogram is a quadrilateral, and the sum of interior angles of any quadrilateral is always 360 degrees. This conclusion aligns with the fact that the sum of angles in each congruent triangle is 180 degrees, and since there are two triangles, 2 x 180 degrees = 360 degrees.