Question

Someone please help me with angle relationships in circles with algebra.

Answer 1

If angle TSV=6x+17 then arc it intercept (SV)would be double it

6x+17=1/2 (15x+13)
12x+34=15x+13
21=3x
x=7

Arc SV=15(7)+13
=118

And angle TSV=6(7)+17
=59

There are 360 degrees in a circle and the measure of the arc would be equal to the central point so the sum of all the arcs equals 360

Arc SV+ arc SUV=360
118+SUV=360
Arc SUV=242