Answer this question correctly with full detailed explanation. You have not just to tell the value of angle boc..Tell the value of angle boc with full explanation
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75°
Step-by-step explanation:
Here, ABCD is a quadrilateral.
∴∠A+∠B+∠C+∠D = 360°
We know, ∠A = 100° and ∠D = 50°
∴ 100° +∠B+∠C+ 50° = 360°
∴ ∠B+∠C = 210°
Dividing this equation by 2, we get
∠OBC +∠OCB = 105°
By angle-sum property of a triangle,
∠OBC +∠OCB +∠BOC = 180°
105° + ∠BOC = 180°
∴∠BOC = 180° - 105° = 75°
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