Question

Algebra: For what values of x and y must each figure be a parallelogram?

Need help please, and explanation.

Answer 1

9514 1404 393

Answer:

x = 60

y = 30

Explanation:

Adjacent angles in a parallelogram total 180°. This relation can be used to form equations to find x and y.

Right Side Angles

x° +(5x -180)° = 180°

6x = 360 . . . . . . . . . . . divide by °, add 180

x = 60 . . . . . . . . divide by 6

__

Left Side Angles

4y° +2y° = 180°

6y = 180 . . . . . . . . . divide by °

y = 30 . . . . . . . divide by 6