Question

One of the adjacent angles of the parallelogram is 50° more than the other. The measure of the least angle in the parallelogram is ___

Answer 1

65

Explanation:

A parallelogram is a quadrilateral (a four sided object) with parallel sides

Some of the characteristics of a parallelogram includes :

1. Opposite sides and angles are congruent .

2. Opposite angels are congruent

3. Consecutive angles are supplementary

4. The diagonals bisect each other

one side measures = 50 + x

the opposite side measures 50 + x

and the 2 other sides measure x

sum of angles in a parallelogram = 360

50 + x + 50 + x + x + x = 360

100 + 4x = 360

4x = 260

x = 65