Question

the angle AOB is bisected by ray OC and Ray OD is opposite OC . prove that angle AOD and angle BOD are equal​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given : AOB is bisected by ray OC

To prove : $\angle AOD =\angle BOD$

Step-by-step explanation:

since ray OC bisects $\angle AOB$

thus

$\angle AOC = \angle BOC$

now ,

$\angle AOD +\angle AOC = 180^\circ\\\\\angle BOD +\angle BOC = 180^\circ$

(linear pair )

adding both the equations we get

$\angle AOD +\angle AOC =\angle BOD +\angle AOC \\\\thus\\\\\angle AOD =\angle BOD$

hence proved

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