Question

in the following figure < AOP =BOD
Answer the following

a) write liner pair of <AOP
b) find <AOP and <BOD
c) write the opposite angle of <BOD
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Answer 1

Answer:

a) Linear pair of < AOP is <POB.

b) Since it is given < AOP = < BOD

So, Using Linear pair theorem,

<AOP + <POD + < BOD = 180°

x + 75° + x = 180°

2x = 180° - 75°

2x = 105°

x = 52.5°

Therefore, <AOP = 52.5 °

c) Opposite angle of <BOD is <AOC

Hope you got your answer

Have a great day ahead