ABCD is a parallelogram in which one angle is 120 degree. Find the other three angles
hi
To find the other three angles of the parallelogram ABCD, we can use the fact that opposite angles in a parallelogram are equal.
Given that one angle in the parallelogram is 120 degrees, let's call this angle A.
Since A and C are opposite angles, they must be equal. Therefore, angle C is also 120 degrees.
Similarly, angle B and D are opposite angles, so they must also be equal. Let's call them both x.
Now, we can set up an equation to find the value of x:
Angle A + Angle B + Angle C + Angle D = 360 degrees (sum of angles in a quadrilateral)
120 + x + 120 + x = 360
Combine like terms:
2x + 240 = 360
Solve for x:
2x = 120
x = 60
So, angle B and angle D are both equal to 60 degrees.
To summarize, the other three angles in the parallelogram ABCD are:
Angle A = 120 degrees
Angle B = 60 degrees
Angle C = 120 degrees
Angle D = 60 degrees
opposite angles are equal, so two angles are 120 deg.
the adjacent angles are "supplementary", so they are 60 degrees each.