#### Answer

35

#### Work Step by Step

Let a be the measure of the angle.
The measure of the complement is $90-a$.
The measure of the supplement is $180-a$.
Convert the sentence to an expression.
$(90-a)+(180-a)=200$
combine like terms
$270-2a=200$
subtract 270 from each side
$270-2a-270=200-270$
$-2a=-70$
divide each side by -2
$-2a\div -2=-70\div -2$
$a=35$