Respuesta :

cinderofsoulsss

Answer:

x = 101°

y = 46°

Step-by-step explanation:

The question tells us that  ΔSTU is similar to ΔSVW. This means that the corresponding angles in each triangle are the same. We can write that like this:

∠UST = ∠WSV

∠SUT = ∠W

∠STU =  ∠V

We can then fill in the angles we know into these statements.

33° = 33°

101° = x

y = 46°

Now we know the values of x and y.

x = 101°

y = 46°


7katelyn10
The sum of the angels of a triangle is alwase 180. So:

W + V+ S = 180
V = 46
S = 33

W + 46 + 33 = 180 use simple algebra
W = 101

Although the other way is simpler, this way is useful for other problems.


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