(Q13) Explain why the triangles are similar and then find the value of x.

iv)

Solution :

Given : In △RAB and △RST

∠R = ∠R (common)

∠A = ∠S and ∠B = ∠T

[∵ Pair of corresponding angles for AB ∥ ST]

∴ △RAB ~ △RST [∵ AAA similarity]