Parallelogram ABCD has �ÚABC=x ∘ and �ÚBCD=2x ∘ +111 ∘ . What is the value of x ?
To find the value of x in parallelogram ABCD, we will use the property that the opposite angles in a parallelogram are equal.
We are given that angle ABC is x degrees, and angle BCD is 2x + 111 degrees.
Since opposite angles are equal in a parallelogram, we can set up the following equation:
x = 2x + 111
To solve for x, we can simplify the equation:
x - 2x = 111
-1x = 111
Dividing both sides by -1, we get:
x = -111
Therefore, the value of x is -111 degrees.