If one angle of a parallelogram is 24

Asked by admin @ 29/08/2021 in Math viewed by 298 People

If one angle if a parallelogram is 24 degree less than twice thr samllest angle then the largest angle if parallelogram is?

Answered by admin @ 29/08/2021

The total sum of parallelogram is 360°.therefore,
let the smaller angle be x.
2nd angle = 2x-24
in parallelogram,the opposite angles are equal !
therefore,
(2x-24)+(2x-24)+x+x=360°
2x+2x+2x-48=360°
2x+2x+2x=360°+24+24
6x=360+48=408°
6x=408
x=(408÷6)=68
therefore,x=68° and the other angle=2x-24=(68×2)-24
=112°
largest angle is 112°

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