3. The sum of the measures of a complement and a supplement of an angle is 200. What is the measure of the angle?
1 answer:
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 =
= 35
Hence,
Th' measure of the angle is 35°
~ Hope it helps!
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 =
Hence,
Th' measure of the angle is 35°
~ Hope it helps!
You might be interested in
Let the Width be x cm
Then the length which is 5cm more than width must be (x+5) cm
Using the formula for the area = length* width
x(x+5) =50
(Distribute x on the parenthesis )
(subtract 50 )
(Factor)
we get
(Not x=-10 because negative side length not possible)
Width = 5 cm
Length = 5+5= 10 cm
Perimeter = 2(Length + width)
So
Perimeter = 2(10+5)
Perimeter = 2*15=30 cm