find the values of x and y given that \\( \\triangle mnp \\cong \\triangle tus \\).

Explanation:

Step1: Use the property of congruent triangles (corresponding sides are equal)

Since (\triangle MNP\cong\triangle TUS), then (2x - y=13)

Step2: Use the property of congruent triangles (corresponding angles are equal)

(\angle M=\angle U), so (24 = 2x-50) Solve the equation (2x-50 = 24) Add (50) to both sides: (2x=24 + 50), (2x=74), then (x = 37)

Step3: Substitute (x = 37) into (2x - y=13)

(2\times37-y=13), (74-y=13) Subtract (74) from both sides: (-y=13 - 74), (-y=-61), then (y = 61)

Answer:

(x = 37) and (y = 61)