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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 :
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- 52°
- 60°
- 56°
- 48°
Correct Option: A
Using Rule 1,
∵ π radian = 180°
∴ | radian = | × | 9 | π | 9 |
∴ | × | = 140° ....(i) | 22 | 9 |
According to the question,
A + B =140°
and, A – B = 36° ....(ii)
On adding,
2A = 176° ⇒ A = | = 88° | 2 |
From equation (i),
∴ 88° + B = 140°
⇒ B = 140° – 88° = 52°