Question

If the m< P is 65 degrees, then what is the measure of Arc XY

Answer 1

`\text{ArcXY}=115\text{ degrees}`

Step by step explanation:

We can solve this situation by the theorem of the angle formed outside of a circle by intersection:

*For two tangents:

`m<p>Then, if m</p><p>[tex]\begin{gathered} 65=(1)/(2)((360-mXY)-mXY) \\ 65=(1)/(2)(360-\text{mXY-mXY)} \\ 65=(1)/(2)(360-2\text{mXY)} \\ 65=180-\text{mXY} \\ \text{mXY}=180-65 \\ \text{mXY}=115 \end{gathered}`