In the given congruent triangles under ASA, find the value of x and y, ΔPQR = ΔSTU.

Given: ΔPQR = ΔSTU (By ASA rule)

∠Q = ∠T = 60° (given)

(given)

∠x = 30° (for ASA rule)

Now in ΔSTU,

∠S + ∠T + ∠U = 180° (Angle sum property)

∠y + 60° + ∠x = 180°

∠y + 60° + 30° = 180°

∠y + 90° = 180°

∠y = 180° – 90° = 90°

Hence, x = 30° and y = 90°.