Line an is parallel to cd. LRB IS (3x-2) and RSC IS (2x-5) find RSC in degrees

∠LRB = 3x-2
∠RSC = 2x-5
∠LRB AND ∠RSC are alternate angles, so their sum is equal to 180°.
∴ (3x-2) + (2x-5) = 180
3x - 2 + 2x - 5 = 180
5x - 7 = 180
5x = 180 - 7
5x = 173
x = [tex]\frac{173}{5}[/tex]
∴ ∠RSC = 2([tex]\frac{173}{5}[/tex]) -5
= 64.2°
∠CSK = ∠RSC ( vertically opposite angles are equal)
∴∠CSK = 64.2°