If the measure of two angles adds up to 180 degrees then the angles are called Supplementary Angles.
∠AOC + ∠COB = 180˚
Find the value of x in each supplementary angle pair.
Problem 1 :
Solution :
The sum of the measures of supplementary angles = 180˚.
Here, ∠AOC = x and ∠COB = 100˚
∠AOC + ∠COB = 180˚
x + 100˚ = 180˚
x = 180˚ – 100˚
x = 80˚
So, the value of x is 80˚.
Problem 2 :
Solution :
The sum of the measures of supplementary angles = 180˚.
Here, ∠AOC = 76˚ and ∠COB = x
∠AOC + ∠COB = 180˚
76˚ + x = 180˚
x = 180˚ - 76˚
x = 104˚
So, the value of x is 104˚.
Problem 3 :
Solution :
The sum of the measures of supplementary angles = 180˚.
Here, ∠AOC = 34˚ and ∠COB = x
∠AOC + ∠COB = 180˚
34˚ + x = 180˚
x = 180˚ - 34˚
x = 146˚
So, the value of x is 146˚.
Problem 4 :
Solution :
The sum of the measures of supplementary angles = 180˚.
Here, ∠AOC = x and ∠COB = 125˚
∠AOC + ∠COB = 180˚
x + 125˚ = 180˚
x = 180˚ - 125˚
x = 55˚
So, the value of x is 55˚.
Problem 5 :
Solution :
The sum of the measures of supplementary angles = 180˚.
Here, ∠AOC = x and ∠COB = 163˚
∠AOC + ∠COB = 180˚
x + 163˚ = 180˚
x = 180˚ - 163˚
x = 17˚
So, the value of x is 17˚.
Problem 6 :
Solution :
The sum of the measures of supplementary angles = 180˚.
Here, ∠AOC = x and ∠COB = 180˚
∠AOC + ∠COB = 180˚
x + 80˚ = 180˚
x = 180˚ - 80˚
x = 100˚
So, the value of x is 100˚.
Problem 7 :
Solution :
The sum of the measures of supplementary angles =180˚.
Here, ∠AOC = 48˚ and ∠COB = x
∠AOC + ∠COB = 180˚
48˚ + x = 180˚
x = 180˚ - 48˚
x = 132˚
So, the value of x is 132˚.
Problem 8 :
Solution :
The sum of the measures of supplementary angles = 180˚.
Here, <AOC = 107˚ and <COB = x
<AOC + <COB = 180˚
107˚ + x = 180˚
x = 180˚ - 107˚
x = 73˚
So, the value of x is 73˚.
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