lf one angle of a llgm is 24 less than twice the smallest angle, find all the angle of the llgm
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Answer:
ATQ:2x-24
opposite angles of a parallelogram are equal.
therefore the four angles become:x,2x-24
largest angle of the parallelogram are is 112°
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Step-by-step explanation:
Let the smallest angle be x.
largest angle= 2x-24
2x-24+x=180(adjacent angles of parallelogram are supplementary)
3x-24=180
3(x-8)=180
x-8=60
x=68
smallest angle=x
=68
largest angle=2(68)-24
=136-24
=112
Opposite angles are equal of parallelogram.
Thus, other angles are 68 and 112.
All angles are 68, 112, 68 and 112.
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