Question

if an angle of parallelogram is two third of its adjacent angle then the smallest angle of the parallelogram is?

Answer 1

let one angle be = x
Adjecent angle = 2/3x
2/3x + x = 180 degrees
5/3x = 180 degrees
x = 108 degrees
Smallest angle = 2/3x = 72 degrees
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Answer 2

sum of all the angles = 360

sum of all the angles = 360let smallest angle = 2x

sum of all the angles = 360let smallest angle = 2xthen largest angle = 3x

sum of all the angles = 360let smallest angle = 2xthen largest angle = 3xthen

sum of all the angles = 360let smallest angle = 2xthen largest angle = 3xthen2x+3x+2x+3x=360

sum of all the angles = 360let smallest angle = 2xthen largest angle = 3xthen2x+3x+2x+3x=360x=36

sum of all the angles = 360let smallest angle = 2xthen largest angle = 3xthen2x+3x+2x+3x=360x=36smaller angle =2x= 72

sum of all the angles = 360let smallest angle = 2xthen largest angle = 3xthen2x+3x+2x+3x=360x=36smaller angle =2x= 72Step-by-step explanation:

sum of all the angles = 360let smallest angle = 2xthen largest angle = 3xthen2x+3x+2x+3x=360x=36smaller angle =2x= 72Step-by-step explanation:hope it helps you