If one angle of a parallelogram is (2x 1 20)° and a consecutive angle is
(x 2 50)°, find the value of x.
To find the value of x, we need to use the properties of a parallelogram. In a parallelogram, opposite angles are congruent, which means they have the same measure.
Given that one angle of the parallelogram is (2x + 120)° and a consecutive angle is (x + 250)°, we can set up an equation:
2x + 120 = x + 250
To solve for x, we will first combine like terms by subtracting x from both sides of the equation:
2x - x + 120 = x - x + 250
This simplifies to:
x + 120 = 250
To isolate x, we can subtract 120 from both sides of the equation:
x + 120 - 120 = 250 - 120
This gives us:
x = 130
Therefore, the value of x is 130.