How many triangles are present in the given figure ?

The different triangles in figure GIK are GPO, GPQ, GOQ, GMN, GMK, GNL, GJI, GJK, GIK

Number of triangles in figure GIK = 9

The different triangles in figure ABGI are AHB, BHG, GHI, IHA, AGI, AGB, BAI, BGI

Number of triangles in figure ABGI = 8

Figure BCEG is similar to figure ABGI. So number of triangles in figure BCEG is equal to number of triangles in figure ABGI.

$$\Rightarrow$$  Number of triangles in figure BCEG = 8

The remaining triangles in the given figure are IBE, GCD, AGE, CED, BIK

Number of remaining triangles in the given figure = 5

$$\therefore\ $$Total number of triangles in the given figure = 9 + 8 + 8 + 5 = 30

Hence, the correct answer is Option D