two opposite angle of a parallelogram are(5x-20) and (70-4x) what are the measurements of other angle of parallelogram
80 ,048
To find the measurements of the other angles of a parallelogram, we need to know a property of parallelograms: opposite angles are congruent.
Given that two opposite angles of the parallelogram are (5x - 20) and (70 - 4x), we can set these two expressions equal to each other:
5x - 20 = 70 - 4x
Now we can solve this equation to find the value of x:
5x + 4x = 70 + 20
9x = 90
x = 10
Now that we know the value of x, we can substitute it back into either of the original expressions to find the measurements of the angles.
Using (5x - 20):
(5 * 10) - 20 = 50 - 20 = 30
Therefore, one of the angles of the parallelogram is 30 degrees.
Since opposite angles of a parallelogram are congruent, the other opposite angle will also measure 30 degrees.
The others are
180-(5x-20) = 200-5x
or
180-(70-4x) = 110+4x
In either case, opposite angles are equal, so if you want the actual numeric measure, just set the two expressions equal, solve for x, and the evaluate the expressions.