Parallelogram ABCD has �ÚABC=x ∘ and �ÚBCD=2x ∘ +111 ∘ . What is the value of x ?
To find the value of x, we need to use the property that opposite angles in a parallelogram are congruent.
In this case, we are given that angle ABC is x degrees and angle BCD is 2x + 111 degrees. Since angle ABC and angle BCD are opposite angles, they must be congruent.
So, we can set up the following equation:
x = 2x + 111
Now, we can solve for x.
To do this, we can start by subtracting 2x from both sides of the equation:
x - 2x = 2x + 111 - 2x
Simplifying, we get:
-x = 111
Next, we can divide both sides of the equation by -1 to solve for x:
x = 111 / -1
Finally, we simplify the right side of the equation:
x = -111
Therefore, the value of x is -111.