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  1. In a triangle ABC, ∠ABC = 75° and ∠ACB =
    πc
    . The circular measure of ∠BAC is
    4
    1. radian
      12
    2. π
      radian
      3
    3. π
      radian
      6
    4. π
      radian
      2
Correct Option: B

Using Rule 1,
∠ABC = 75°
[∵ 180° = π radian or πc ]

75° =
π
× 75 =
5 π
radian
180 12

∴ ∠BAC = π -
π
-
5 π
4 12

=
12π - 3π - 5π
-
4 π
12 12

=
π
radian
3



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