Question

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

Answer 1

∠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 = $\frac{173}{5}$

∴ ∠RSC = 2($\frac{173}{5}$) -5

= 64.2°

∠CSK = ∠RSC ( vertically opposite angles are equal)

∴∠CSK =  64.2°