Proving that straight line divides the angle into two equal parts

TheNotorious

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It's given that angle C is 135°. I need to prove that straight line OC divides angle C into two equal angles.

Please help me to prove that.
 

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It's given that angle C is 135° . I need to prove that straight line OC divides angle C into two equal angles.

Please help me to prove that.
If that is the only given related to this figure - then it cannot be proven.
 
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