Need help with a word problem ASAP!

[Hails13]

Each of the two smaller angles of a parallelogram measures 18 degrees less than each of the two larger angles. Find the measure of the four angles.




How would you set this up?

 

[BigGlenntheHeavy]

\(\displaystyle (x-18)+(x-18)+x+x \ = \ 360\)

 

[soroban]

Hello, Hails13!

Did you make a sketch?

Each of the two smaller angles of a parallelogram is 18 degrees less than the two larger angles.
Find the measure of the four angles.

            * - - - - - - - - *
           /                 /
          /                 /
         /                 /
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       / x-18         x  /
      * - - - - - - - - *

Two adjacent angles of a parallelogram are supplementary.

So we have: .\(\displaystyle (x-18) + x \:=\:180^o\)