Question

3. The sum of the measures of a complement and a supplement of an angle is 200. What is the measure of the angle?

Answer 1

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 =
`\frac {70}{2}` = 35

Hence,
Th' measure of the angle is 35°

~ Hope it helps!