solution of pardeep of class 9
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Ray BO is the bisector of angle CBE
•°• angle CBO= 1/2angle CBE
= 1/2(180°- y)
=90°- y/2 ........ (1)
Similarly, ray CO is the bisector of angle BcD.
•°•angle BCO = 1/2 angle BCD
=1/2 (180°- z)
=90°-z /2
In triangle BOC,angle BOC, angleBCO +angleCBO=180°
substituting(1) and (2) in (3), you get
=angle BOC+90 °- z/2+90 °-y/2=180°
=angle BOC=z/2+y/2
=angle BOC=1/2 (y+z)
x +y +z =180°(Angle sum property of a triangle)
•°•y+z=180°-x
•°•(4) becomes
angle BOC=1/2 (180°-x)
=90 °- x/2
= =90 °- 1/2 angle BAC
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