If an angle of a parallelogram is two-third of its adjacent angle, the

1.	If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is :A. 108° B. 54° C. 72° D. 81°
Answer» Option : (C) Since the adjacent angle of a parallelogram are supplementary. Hence, x + \(\frac{2}{3}\)x = 180° \(\frac{2}{3}\)x = 180° x = 108° Now, \(\frac{2}{3}\)x = \(\frac{2}{3}\) x 108° = 72°

If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is :A. 108° B. 54° C. 72° D. 81°

Answer»

Option : (C)

Since the adjacent angle of a parallelogram are supplementary.

Hence,

x + \(\frac{2}{3}\)x = 180°

\(\frac{2}{3}\)x = 180°

x = 108°

Now,

\(\frac{2}{3}\)x = \(\frac{2}{3}\) x 108°

= 72°