Hi,
sum of the measures of the complement and the supplement of an angle is 214
Let x be the angle, (90° - x)it's complement and (180°-x) it's supplement
Question states***
(90°-x) + (180°-x) = 214°
solving for x
270° - 2x = 214°
56° = 2x
28° = x, the measure of the angle in question
CHECKING our Answer***
62° + 152° = 214°