Question

In parallelogram DEFG, the difference between two adjacent angles is 32 degrees. Which is the measure of the larger angle?
Answer 118 degrees
114 degrees
106 degrees
96 degrees

Answer 1

106 degrees
Solve (180 - x) - x = 32 for x
x=74, 180-x=106

Answer 2

let the opposite angles be x and y.
x- y = 32 [hence y =x -32]
2x + 2y = 360 [hence 2x + 2(x -32) = 360

Therefore expanding and simplifying...
4x -64 = 360

4x = 364
x = 91
y = 59

Answer 3

can one of u help me on my next question

Answer 4

Sure