Question

In parallelogram DEFG, the difference between two adjacent angles is 32 degrees. Which is the measure of the larger angle?

Answer 1

x + y =180
x - y = 32
adding
2x = 212
x = 106

Answer 2

larger angles = 106 degrees

Answer 3

x+y=180 (adjacent angles in a parallelogram are supplementary)
x-y=32 (given)

if you subtract the equations, you get 2y=148, or y=74.

x+y=180
x+74=180
x=106

Answer 4

yep

Answer 5

thanks

Answer 6

yep 74 = measure of smaller angle

Answer 7

ok - plz click on good answer(s) as you see fit, so this will close the question