the measure of one of the angles of a parallelogram is 120 degree. what are the other angles?
consecutive pairs add to 180, so the angles are 120,60,120,60
To find the measure of the other angles in a parallelogram, we need to use the properties of parallelograms.
First, we know that opposite angles in a parallelogram are congruent. This means that if one angle is 120 degrees, its opposite angle will also be 120 degrees.
A parallelogram has two pairs of opposite angles. So, if one angle measures 120 degrees, then the opposite angle will also measure 120 degrees.
To find the remaining two angles, we can use the fact that the sum of the angles in any quadrilateral is 360 degrees.
Let's assume one angle is 120 degrees. The opposite angle will also be 120 degrees. The sum of these two angles is 120 + 120 = 240 degrees.
Now, to find the remaining two angles, subtract the sum of the known angles from the total sum (360 degrees).
360 - 240 = 120 degrees.
So, the remaining two angles in the parallelogram will both measure 120 degrees.
Therefore, in this parallelogram, two angles measure 120 degrees, and the other two angles also measure 120 degrees.