If the measure of two angles adds up to 90 degrees then the angles are called Complementary Angles.
∠AOB + ∠BOC = 90˚
Find the value of x in each right angle.
Problem 1 :
Solution :
The sum of the measures of complementary angles = 90˚.
Here, ∠AOC = x and ∠COB = 45˚
∠AOC + ∠COB = 90˚
x + 45˚ = 90˚
x = 90˚ – 45˚
x = 45˚
So, the value of x is 45˚.
Problem 2 :
Solution :
The sum of the measures of complementary angles = 90˚.
Here, ∠AOC = 72˚ and ∠COB = x
∠AOC + ∠COB = 90˚
72˚ + x = 90˚
x = 90˚ - 72˚
x = 18˚
So, the value of x is 18˚.
Problem 3 :
Solution :
The sum of the measures of complementary angles = 90˚.
Here, ∠AOC = 23˚ and ∠COB = x
∠AOC + ∠COB = 90˚
23˚ + x = 90˚
x = 90˚ - 23˚
x = 67˚
So, the value of x is 67˚.
Problem 4 :
Solution :
The sum of the measures of complementary angles = 90˚
Here, ∠AOC = 81˚ and ∠COB = x
∠AOC + ∠COB = 90˚
81˚ + x = 90˚
x = 90˚ - 81˚
x = 9˚
So, the value of x is 9˚.
Problem 5 :
Solution :
The sum of the measures of complementary angles = 90˚.
Here, ∠AOC = x and ∠COB = 17˚
∠AOC + ∠COB = 90˚
x + 17˚= 90˚
x = 90˚ - 17˚
x = 73˚
So, the value of x is 73˚.
Problem 6 :
Solution :
The sum of the measures of complementary angles = 90˚.
Here, ∠AOC = 43˚ and ∠COB = x
∠AOC + ∠COB = 90˚
43˚ + x = 90˚
x = 90˚ - 43˚
x = 47˚
So, the value of x is 47˚.
Problem 7 :
Solution :
The sum of the measures of complementary angles = 90˚.
Here, ∠AOC = 77˚and ∠COB = x
∠AOC + ∠COB = 90˚
77˚ + x = 90˚
x = 90˚ - 77˚
x = 13˚
So, the value of x is 13˚.
Problem 8 :
Solution :
The sum of the measures of complementary angles = 90˚.
Here, ∠AOC = x and ∠COB = 68˚
∠AOC + ∠COB = 90˚
x + 68˚ = 90˚
x = 90˚ - 68˚
x = 22˚
So, the value of x is 22˚.
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