Two adjacent angles of a parallelogram are as 1 : 2. Find the measures

1.	Two adjacent angles of a parallelogram are as 1 : 2. Find the measures of all the angles of the parallelogram.
Answer» Let us consider one of the adjacent angle as x° Other adjacent angle = 2x° We know that sum of adjacent angles = 180° So, x° + 2x° = 180° 3x° = 180° x° = 180°/3 = 60° So other angle is 2x = 2×60 = 120° ∴ Measures of the remaining angles are 60°, 60°, 120° and 120°

Two adjacent angles of a parallelogram are as 1 : 2. Find the measures of all the angles of the parallelogram.

Answer»

Let us consider one of the adjacent angle as x°

Other adjacent angle = 2x°

We know that sum of adjacent angles = 180°

So,

x° + 2x° = 180°

3x° = 180°

x° = 180°/3

= 60°

So other angle is 2x = 2×60 = 120°

∴ Measures of the remaining angles are 60°, 60°, 120° and 120°