Question

QV is tangent to circle O at point Q, and

QB is a secant line. If mQFB = 252°,
find m/BQV.
B
V
F

Answer 1

We have to find m∠BQV.

As QV is a tangent line, we can relate ∠BQV with the minor arc QB as:

`\begin{gathered} m\angle BQV=(1)/(2)m\overarc{BQ}=(1)/(2)(360\degree-m\overarc{BFQ})=(1)/(2)(360\degree-252\degree) \\ m\angle BQV=(1)/(2)(108\degree) \\ m\angle BQV=54\degree \end{gathered}`

Answer: m∠BQV = 54°