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If the sum of two angles is 135° and their difference is (π / 12) , then the circular measure of the greater angle is
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2π 3 -
3π 5 -
5π 12 -
π 3
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Correct Option: C
Using Rule 1,
Two angles = A and B where A > B.
∴ A + B = 135°
| = |  | 135 × π |  | radian |
| 180 |
| ⇒ A + B = | | 3π | | radian ....(i) |
| 4 |
| A – B = | | π | | ....(ii) |
| 12 |
On adding these equations,
| 2A = | + | 4 | 12 |
| = | = | = | 12 | 12 | 6 |
| ∴ A = | radian | 12 |
