The answer of the above equation is 26.

Explaination:

Let the star diagram be, S

Let the hexagon with triangle & circle be, H

the triangle with the circle be, T

the normal circle be, C

& Normal hexagon be, Hx

Normal hexagon with triangle be, Ht

Rewriting all equations, in the above abbreviations,

S + S + S = 36, Equation (1)

H + H + S = 30, Equation (2)

T + T + H = 15, Equation (3)

2C + 2C + Hx = 14, Equation (4)

S + Ht * C =?, Equation (5)

Now, initiating with equation (1),

S + S + S = 36

3S = 36

S = 12

Substitute, the value of S in equation (2),

H + H + S = 30

2H + 12 = 30

2H = 18

H = 9

Similarly, solve equation (3);

T + T + H = 15

2T + 9 = 15

2T = 6

T = 3

We know that a normal hexagon + triangle with the circle = H i.e.,

Hx = H - T

Hx = 9 – 3

Hexagon, Hx = 6

Now substitute above values in equation (4),

2C + 2C + Hx = 14

4C + 6 = 14

4C = 8

C = 2

From above equations, we can conclude,

H – C = Ht

9 – 2 = Ht

Ht = 7,

Now substitute the values for final equation (5),

S + Ht * C =?

= 12 + 7 * 2

= 12 + 14

S + Ht * C = 26