Question

Calculate the value of x in the illustration below.

http://curriculum.kcdistancelearning.com/courses/GEOMx-HS-A09/b/assessments/C-CirclesExam/Geometry_7_Exam_45q.gif

Answer 1

If 105 degrees refer to the arc, then angle RVS = 105 degrees.
Since angles RCS and RVS sit on the same chord, the angle subtended at the circumference (RCS) is half of that at the centre (RVS), hence
7x = (105/2)

Solve for x.

Answer 2

7.5

Answer 3

Correct!