# A larger one

**Discrete Mathematics**Level None

Find the total number of triangles(excluding degenerate triangles) and quadrilaterals in the given figure.

**Details**-

G,H lie on EF. P,O lie on KL.

Line segment EGHF is parallel to AB.

C is a point on the other side of AB compared to EGHF.

There are 41 additional points on the line segment GH, which are connected to both A and B with line segments.

There are 41 additional points on the line segment HF, which are connected to B with line segments.

There are 41 additional points on the line segment GE, which are connected to A with line segments.

There are 27 additional points on the line segment GC, which are connected to B with line segments.

There are 27 additional points on the line segment BC, which are connected to A with line segments.

JI and MN are parallel KO and are on opposite sides of KO.

PO is extended to K on the left and L on the right.

J and K, K and M, L and N, I and L, are connected together with curves (which is one-fourth the circumference of the circle drawn with radius KP and OL respectively).

There are 15 additional points on each arc JK, KM, LN and IL and they are connected to both P and O by line segments.

**Hint**: \(JK\), \(KM\), \(IL\) and \(LN\) are \(arcs\) so there are no \(Individual\) \(Triangles\) in it.

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