Question

In the given figure O is the mid point of AB and angle BQO is equal to angle APO.Show that angle OAP is equal to angle OBQ

Answer 1

Answer:

in ∆AOC and ∆BOD

AO=BO【o, is the mid point of AB】

AngleAOD=angleBOQ

PO=OQ【o is the mid point of PQ】

So by SAS congruence rule

∆AOP congruent to ∆BOQ

Hence AP=BQ by 【CPCT】