Question

Find the measure Z BCD in thefollowing parallelogram.ADх2x2xХСBmZBCD = [ ? 10

Answer 1

Ok, so

We got the following parallelogram:

We want to find the value of the angle BCD.

For this, remember that the sum of the internal angles of a parallelogram must be always equal to 360°.

So, we could write:

$\begin{gathered} 2x+2x+x+x=360 \\ 6x=360 \\ x=\frac{360}{6} \\ x=60 \end{gathered}$

The value of x is equal to 60°. Now, the angle BCD is an angle that measures 2x degrees.

So, BCD measures 2*60, which is 120°.