If one angel of a parallelogram is twice of its adjacent angel,find the angel of the parallelogram
Hint:
adjacent angles of parallelgrams are supplementary, i.e. they add up to 180°.
For the given problem, if one angle is x, then the adjacent angle is 2x.
Since they are supplementary, we have
x+2x=180°.
Solve for x and hence the angles of the parallelogram.
x=2y; x+y=180 => y+2y=180 => y=60 => x (angel) equals to 120;
To find the angles of a parallelogram, you need to know the relationship between adjacent angles.
Let's assume one angle of the parallelogram is x degrees. According to the given information, the adjacent angle to x is twice its value. So, the adjacent angle would be 2x degrees.
In a parallelogram, opposite angles are congruent. This implies that the opposite angle to x would also be x degrees. Similarly, the opposite angle to 2x would also be 2x degrees.
Since the sum of the angles in a parallelogram is 360 degrees, we can set up an equation:
x + 2x + x + 2x = 360
Combining like terms:
6x = 360
Dividing both sides of the equation by 6:
x = 60
Therefore, the angle of the parallelogram is 60 degrees.