Answer:
![\Huge\boxed{x=15}](https://tex.z-dn.net/?f=%5CHuge%5Cboxed%7Bx%3D15%7D)
Step-by-step explanation:
Hello There!
The angle labeled 6x is a right angle
If an angle is formed using the diameter of a circle then the opposite angle of that side is a right angle
So 6x = 90
isolate the variable
divide each side by 6
90/6= 15
6x/6=x
we're left with x = 15
The function is B, you can tell using the vertical line test through each point
Angle UTV is basically given: it's 138°.
Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have
![138+x+x=180 \iff 2x=42 \iff x=21](https://tex.z-dn.net/?f=138%2Bx%2Bx%3D180%20%5Ciff%202x%3D42%20%5Ciff%20x%3D21)
So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°