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