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

1.	If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.
Answer» Let us consider one of the adjacent angle as x° Other adjacent angle is = 2x^o/3 We know that sum of adjacent angles = 180° So, x° + 2x°/3 = 180° (3x° + 2x°)/3 = 180° 5x°/3 = 180° x° = 180°×3/5 = 108° Other angle is = 180° – 108° = 72° ∴ Angles of a parallelogram are 72°, 72°, 108°, 108°

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

Answer»

Let us consider one of the adjacent angle as x°

Other adjacent angle is = 2x^o/3

We know that sum of adjacent angles = 180°

So,

x° + 2x°/3 = 180°

(3x° + 2x°)/3 = 180°

5x°/3 = 180°

x° = 180°×3/5

= 108°

Other angle is = 180° – 108° = 72°

∴ Angles of a parallelogram are 72°, 72°, 108°, 108°