Question

If in parallegram one angle is 4/5 times of its adjacent angle then which is the smallest angle of parallelogram

Answer 1

We know that in a parallelogram, adjacent angles add up to 180 degrees.
$x + \frac{4x}{5} = 180 \\ 5x + 4x = 900 \\ 9x = 900 \\ x = 100 \\ \frac{4}{5} x = \frac{4 \times 100}{5} = 80$
Thus the smallest angle in the parallelogram is 80 degrees.