solve

Question

solve

anonymous · Answer

attachment

hartnn · Answer

so when can you say that a quadrilateral is concylic ?
any property from which we can prove points are concyclic...

hartnn · Answer

if the quadrilateral formed by those 4 points, have Opposite angles as supplementary , then those 4 points are concyclic

hartnn · Answer

so we just need to prove 
T +B = 180
P +Q = 180

loser66 · Answer

I am sorry. I really don't know how to solve. let's wait for @Merstj

anonymous · Answer

@ganeshie8 
@amistre64 
@terenzreignz 
@skullpatrol 
@mathslover

ganeshie8 · Answer

familiar wid inscribed angle formula ?

ganeshie8 · Answer

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ganeshie8 · Answer

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ganeshie8 · Answer

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ganeshie8 · Answer

$\large \angle APT \cong \angle ABP $ ------------(1)    (why ?)

simiarly,

$\large  \angle  AQT \cong \angle ABQ$ ---------------(2)

ganeshie8 · Answer

from (1) and (2),

$\large   \angle ABP + \angle ABQ =   \angle APT + \angle AQT$

$\large  \angle ABP + \angle ABQ  = 180 - \angle T$

$\large  \angle ABP + \angle ABQ +   \angle T  = 180$

$\large  \angle B  +   \angle T  = 180$

^ The sum of opposite angles in quadrilateral TPBQ is 180. so the four points are concyclic.