How many triangles are there in the given figure?

The logic followed here is;

(let's keep in mind the base, means how many triangles are there in the base)

1+2= 03  (ANC) 

1+2= 03  (BTD)

And, the other triangles are;

ANP, PNO, PTO, PTB, MTD, CNL, PNT, ACP, PDB, PCD, BMD, ACL, PQD, PQC

Therefore, there are 03+03+14= 20 triangles in the above figure.