for each parallelogram find the measures of the angles formed by extending two adjacent side through their common vertex: angle is 90 degrees
To find the measures of the angles formed by extending two adjacent sides of a parallelogram through their common vertex, we need to use the properties of parallelograms.
1. Note that opposite angles in a parallelogram are congruent. This means that if we extend two adjacent sides through their common vertex to form a 90-degree angle, we are essentially creating two opposite angles.
2. Since opposite angles are congruent, each opposite angle will have a measure of 90 degrees. Therefore, both angles formed by extending the sides will also measure 90 degrees.
In summary, if a parallelogram has two adjacent sides extended through their common vertex, forming a 90-degree angle, then both angles formed will have a measure of 90 degrees.