If one angle of a parallelogram is 24° less than twice the smallest angle then the largest angle of the parallelogram is?
- 112°
- 176°
- 68°
- 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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