How many triangles are there in the given figure?

There are 04 triangles in ABCD and 04 triangles in PWQX

And, the other triangles are;

LSR, USR, MTR, VTR, OVT, NSU, RNO, RUV, RST, RSV, RUT, ROM, RNL, RSN, RTO

Therefore, the number of triangles in the above figure are 04+04+15= 23 triangles.