Find the sizes of the angles of a parallelogram if one angle is 20° less than twice the smallest angle
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0
Answer:
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Step-by-step explanation:
let smallest angle be x°
then the other will be (2x-20)° we know that adjacent angles of llgm are
supplementary therefore,
x + 2x-20=180
3x=180+20
3x=200
x=200/3
x=66.6°
other angle =2x 66.6. -20= 113.3°
Answered by
0
Answer:
Let the smallest angle be x
o
.
Then, the other angle will be (2x−20)
o
.
W e know that, sum adjacent angles of parallelogram are supplementary.
∴ x+(2x−20
o
)=180
o
⇒ 3x−20
o
=180
o
⇒ 3x=200
o
⇒ x=
3
200
o
∴ x=66.7
o
⇒ Other angle =2×66.6
o
−20
o
=113.3
o
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