The opposite sides of a parallelogram are represented by 2x + 10 and 5x - 20. Find the length of the side of the parallelogram represented by 4x - 1. If obtuse angle of this parallelogram is 20° more than the acute angle, find the measure of all the angles . 2x+10 4x-1 5x-20
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2x+10=5x-20
⇒3x=30
⇒x=10
2x+10=30
4x-1=39
5x-20=30
let y be acute angle
then obtuse angle=y+20
y+y+20=180
⇒2y+20=180
⇒y=80
all angles are 80,100,80 and 100
⇒3x=30
⇒x=10
2x+10=30
4x-1=39
5x-20=30
let y be acute angle
then obtuse angle=y+20
y+y+20=180
⇒2y+20=180
⇒y=80
all angles are 80,100,80 and 100
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