# Find Out the Value of Smaller Angle in Degree.

If the sum and difference of two angles are 22/9 radian and 36^{o} respectively, then the value of smaller angle in degree taking the value of π as 22/7 is:

- 48
^{o} - 52
^{o} - 56
^{o} - 60
^{o}

**Answer: (2) 52 ^{o}**

**Explanation:-
**Let the two angles are x and y.

2 pai = 360

^{o}

According to question,

360 x 22/2pai x 9 = 22/9 rad

360 x 7 x 22/2 x 22 x 9

= 140

^{o}

Sum of the angles,

x + y = 140 ……………… (1)

Difference of the angles,

x – y = 36 ……………… (2)

Solve equation (1) & (2)

Then, x = 88 and y = 52

Then, the value of smaller angle is 52^{o}.

Hence, the answer is (2) 52^{o}.