Question

Please help and show your work

Answer 1

Answer:

Step-by-step explanation:

Corresponding parts of congruent triangles are equal.

VT = SR

8x- 17 = 15   {Add 17 to both sides}

8x = 15 + 17

8x = 32    {divide both sides by 8}

x = 32/8

x = 4

Corresponding parts of congruent triangles are equal.

∠V = ∠S = 60°

∠W = ∠U = 90°

∠T = ∠R = 2y + 20

In Δ VUT,

∠V + ∠U + ∠T = 180  {Angle sum property of triangle}

60 + 90 + 2y + 20 = 180

2y + 170 = 180

2y = 180- 170

2y = 10

y = 10/2

y = 5