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

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

can one of u help me on my next question

anonymous · Answer

Sure