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If the sum and difference of two angles are 22/9 radian and 36° respectively, then the value of smaller angle in degree taking the value of π as 22/ 7 is: (SSC CGL 1st Sit. 2015)
- a)60°
- b)48°
- c)52°
- d)56°
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If the sum and difference of two angles are 22/9radian and 36° res...
Let angles are x and y rad.
x – y = 36° ... (i)
x + y = 22/9
Now, on solving each (i) and (ii), we get
x = 88°, and y = 52°
So, smaller angle = 52°
x – y = 36° ... (i)
x + y = 22/9
Now, on solving each (i) and (ii), we get
x = 88°, and y = 52°
So, smaller angle = 52°
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Community Answer
If the sum and difference of two angles are 22/9radian and 36° res...
Let the two angles be x and y.
According to the given information,
x + y = 22/9 radians (1)
x - y = 36 degrees (2)
To convert 36 degrees to radians, we multiply by π/180:
36 degrees = (36 * π/180) radians = π/5 radians.
Now, let's solve equations (1) and (2) simultaneously.
Adding equations (1) and (2), we get:
2x = (22/9) + (π/5)
2x = (22/9) + (π/5)
2x = (22*5 + 9π)/45
x = (22*5 + 9π)/90
Substituting the value of x in equation (1), we get:
(22*5 + 9π)/90 + y = 22/9
(22*5 + 9π)/90 + y = 22/9
y = 22/9 - (22*5 + 9π)/90
y = 22/9 - (22*5 + 9π)/90
Hence, the values of x and y are:
x = (22*5 + 9π)/90
y = 22/9 - (22*5 + 9π)/90
According to the given information,
x + y = 22/9 radians (1)
x - y = 36 degrees (2)
To convert 36 degrees to radians, we multiply by π/180:
36 degrees = (36 * π/180) radians = π/5 radians.
Now, let's solve equations (1) and (2) simultaneously.
Adding equations (1) and (2), we get:
2x = (22/9) + (π/5)
2x = (22/9) + (π/5)
2x = (22*5 + 9π)/45
x = (22*5 + 9π)/90
Substituting the value of x in equation (1), we get:
(22*5 + 9π)/90 + y = 22/9
(22*5 + 9π)/90 + y = 22/9
y = 22/9 - (22*5 + 9π)/90
y = 22/9 - (22*5 + 9π)/90
Hence, the values of x and y are:
x = (22*5 + 9π)/90
y = 22/9 - (22*5 + 9π)/90
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If the sum and difference of two angles are 22/9radian and 36° respectively, then the value of smaller angle in degree taking the value of π as 22/ 7is: (SSC CGL 1st Sit. 2015)a)60°b)48°c)52°d)56°Correct answer is option 'C'. Can you explain this answer?
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