Question

the difference of the measure two ajacent angle of parallelogram is 50 . find the measure of all its measure of all its angle​

Answer 1

Answer:

115°,65°,115°,65°

Step-by-step explanation:

let, the adjacent angles of parallelogram be x and y

x+y=180______(1)(adjacent angles are supplementary)

x-y=50_____(2)(given)

add equation (1)and (2)

x+y=180

+ x-y=50

_________

2x=230

x=230/2

x=115

place value of x in equation (1)

x+y=180

115+y=180

y=180-115

y=65

opposite angles are congruent

x=its opposite angle=115

y=its opposite angle =65