AB and AC are two tangents to a circle having centre O. If angle BOC = (3x – 8°) and angle BAC = (2x + 3°), find x.
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answer = X.= 37°
EXPLAINATION=
Angle A =2x +3
Angle B =90°(angle made by radius on the
tangent = 90°)
Angle C =90° ⬆️
Angle BOC= 3x-8
we know that sum of all angles of quad. =360°
Therefore---
90+90+2x+3+3x-8=360°
183-8+5x=360°
175+5x=360°
5x=360-175
5x=185
x=185÷5
x=37
So,angle A = 2 × 37 + 3=77°
angle BOC= 3 × 37 - 8 =103°
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