Question

In the diagram O is the midpoint of the AB and ∠ BQO = ∠ APO . Show that ∠ OAP = ∠ OBQ

Answer 1

Answer:-

given : -

O is the mid point of AB i.e. AO = BO

<BQO = < APO

To show :- <OAP = < OBQ

Solution :- In triangle AOP and triangle BOQ

AO = OB (given)

<AOP = < BOQ ( vertically opposite angles )

< APO = < BOQ (given)

By SAA congruence rule

triangle AOP ~= triangle BOQ

therefore, <OAP = <OBQ (by CPCT )

hence , proved

I hope it will help you out