Question

If one of a parallelogram is 24degree less than twice the smallest angle then the largest angle of the parallelogram is?

Answer 1

$\bf{\underline{Given}}:-$

• If one angle of parallelogram is 24° less than twice the smaller angle.

To find :-

• The largest angle of parallelogram

Solution :-

Let the smallest angle be x

and largest angle be 2x - 24°

we know that,sum of adjacent angle of a parallelogram is 180°.

Now,

According to the above values,

x + 2x - 24° = 180°

⤇ 3x - 24° = 180°

⤇ 3x = 180° + 24°

⤇ 3x = 204°

⤇ x = 204/3

⤇ x = 68°

Then,

⤇ 180° - 68°

⤇ 112°

Hence,the largest angle of the Parallelogram wil be 112°.