Use the fact that VWX is similar to STR to write proportions and solve for RT.

△VWX ~ △STR

To start, find two corresponding sides whose lengths are given: VW=14 and ST=2. Now write the proportions

Write a proportion to solve for RT . Use VW , ST , RT , and its corresponding side WX.

VW / ST = WX / RT Definition of similarity

14 / 2 = 21 / RT Plug in VW=14, ST=2 and WX=21

7 = 21 / RT Simplify

7 . RT = 21 Multiply both sides by RT

RT = 3 Divide both sides by 7

So, RT=3.

Use the fact that BCD is similar to JHI to write proportions and solve for BC.

△BCD~△JHI

To start, find two corresponding sides whose lengths are given: BD=4 and IJ=1. Now write the proportions.

Write a proportion to solve for BC . Use BD , IJ , BC , and its corresponding side HJ.

BD / IJ = BC / HJ Definition of similarity

4 / 1 = BC / 1 Plug in BD=4, IJ=1 and HJ=1

4 = BC Simplify

So , BC = 4.

∠W is not given, but the measure of its corresponding angle—∠E—is.

△WXY ~ △EFD

So, ∠W=∠E=56°.