Hi there!
Let th' required angle = X
Then,
• Complement of th' angle = 90 - X
• Supplement of th' angle is = 180 - X
According to th' question,
Sum of Complement and Supplement :-
(90 - X) + (180 - X) = 200
⇒ 90 - X + 180 - X = 200
⇒ 270 - 2X = 200
⇒ 2X = 270 - 200
⇒ 2X = 70
⇒ X = [tex]\dfrac {70}{2}[/tex] = 35
Hence,
Th' measure of the angle is 35°
~ Hope it helps!
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