1 Answer

Ladonna · Answer 1 · 2023-07-19T02:45:40+0000

Answer:
$\angle STU=34^(\circ), \angle TVW=116^(\circ)$

Explanation:

By the alternate interior angles theorem,

$3x+4=2x+14\\\\x+4=14\\\\x=10\\\\\implies \angle STU=3(10)+4=\boxed{34^(\circ)}$

By the alternate interior angles theorem,
$\angle UTV=82^(\circ)$ , and we also know that
$\angle TUV=34^(\circ)$ .

Thus, by the exterior angle theorem,

$\angle TVW=82+34=\boxed{116^(\circ)}$

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