Question

$\overline{PQ}$ are $\overline{PT}$ tangent to circle $O$. If angle $P$ measures ${70}^o$, how many degrees are in minor arc $QT$?

• A. 140
• B. 125
• C. 120
• D. 110
• E. 100

Answer 1

The correct option is D 110

Given, $PQ$ and $PT$ are tangents
We have angle $OQP=OTP={90}^o$
So in quadrilateral $OQPT$ , we have $QOT+90+90+70=360$
Which implies angle $QOT=110$ degrees
So, the degrees in minor arc is $110$.