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

Find The Measure Z BCD In Thefollowing ParallelogramADх2x2xХСBmZBCD 10 class=

Sagot :

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:

[tex]\begin{gathered} 2x+2x+x+x=360 \\ 6x=360 \\ x=\frac{360}{6} \\ x=60 \end{gathered}[/tex]

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°.

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