Questions: In the figure, ABCDEFGH is a regular octagon and DEIJK is a regular pentagon. Find x.

△ Determine the value of \( x \) in the given geometric configuration. ○ Calculate interior angle of the octagon ▷ Use the formula for the interior angle of a regular polygon. ☼ Each interior angle of a regular octagon is \( \frac{(8-2) \times 180^\circ}{8} = 135^\circ \). ○ Calculate interior angle of the pentagon ▷ Use the formula for the interior angle of a regular polygon. ☼ Each interior angle of a regular pentagon is \( \frac{(5-2) \times 180^\circ}{5} = 108^\circ \). ○ Determine angle \( BCK \) ▷ Subtract the pentagon's interior angle from the octagon's interior angle at vertex \( C \). ☼ Angle \( BCK = 135^\circ - 108^\circ = 27^\circ \). ○ Identify angle \( x \) ▷ Relate angle \( x \) to angle \( BCK \) based on the diagram. ☼ Since angle \( KCX \) is marked as \( x \) and corresponds to angle \( BCK \), \( x = 27^\circ \). ✧ The value of \( x \) is \( 27^\circ \). ☺ x = 27°