Question

What are the measures of angles QRS and STU ?

Answer 1

Inscribed angles on the same intersecting arc are all equal.

Therefore we have the equation:

`3x = x+8\qquad|-x\\\\2x=8\qquad|:2\\\\\boxed{x=4}\\\\m\angle QRS=3x\to m\angle QRS=(3\cdot4)^o=12^o\\\\m\angle STU=x+8\to m\angle STU=(4+8)^o=12^o`

Answer: C.