How do I find the value of x in each diagram?

x = 52°

Step-by-step explanation:

The sum of the exterior angles of a polygon

The sum of the exterior angles of a polygon is always 360° regardless of the number of sides.

The figure shows five angles that are exterior to the central pentagon.

The sum of all those angles is:

52 + 2x + 88 + x + 10 + x + 2

And that sum must be equal to 360, thus:

52 + 2x + 88 + x + 10 + x + 2 = 360

Simplifying:

4x + 152 = 360

Subtracting 152:

4x = 208

Dividing by 4:

x = 208/4 = 52

x = 52°

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

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