If one angle of a parallelogram is 24° less than twice the smallest angle then the largest angle of the parallelogram is?
  1. 112°
  2. 176°
  3. 68°
  4. 102°
Explanation

Let smallest angle = x

Then largest angle = 2 x − 24°

But x + 2 x − 24° = 180°

⇒3 x − 24° = 180°

⇒3 x = 180° + 24 = 204°

⇒x = 204/3 = 68°

∴ largest angle = 180 − 68° = 112°

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