Look at the picture. i need to find svt. the answer is 17 degrees but i don't know how to get that answer working it out.

∠ SVT = 18.5 degrees

Step-by-step explanation:

See the given figure.

This is a diagram of a rhombus and the opposite angles of a rhombus are the same.

Now, ∠ VST = 5x + 23 and ∠ VUT = 8x - 49

And we have ∠ VST = ∠ VUT {Opposite angles}

So, 5x + 23 = 8x - 49

⇒ 3x = 23 + 49 = 72

⇒ x = 24

So, ∠ VST = 5x + 23 = 5 × 24 + 23 = 143

Hence, the other two opposite angles of the rhombus are degrees each.

So, 2 × ∠ SVT = ∠ SVU = 37

⇒ ∠ SVT = 18.5 degrees (Answer)

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it