(a)State the order of rotational symmetry of a rhombus.[1] (b)Four of the interior angles of a 12-sided polygon are each . The other angles are each. Calculate the value x?

(a) The order of rotational symmetry of a rhombus is 2, as it can be rotated by 180 degrees and still look the same.

(b) In a 12-sided polygon, the sum of all interior angles is given by the formula (n-2) * 180 degrees, where n is the number of sides. So for a 12-sided polygon, the sum of all interior angles is (12-2) * 180 = 1800 degrees.

Let x be the measure of each of the four angles that are . The other eight angles are each. So we can set up the equation:

4x + 8( ) = 1800

4x + 8( ) = 1800
4x + 8(150) = 1800
4x + 1200 = 1800
4x = 600
x = 150

Therefore, the value of x is 150 degrees.