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Points $T$ and $U$ lie on a circle centered at $O$, and point $P$ is outside the circle such that $\overline{PT}$ and $\overline{PU}$ are tangent to the circle.  If $\angle TOP = 45^{\circ}$, then what is the measure of minor arc $TU$, in degrees?

 Feb 11, 2024
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\(\angle TOP=\angle UOP=45^{\circ}\\ \angle TOU=\angle TOP+\angle UOP=2\cdot 45^{\circ}\\ \color{blue}\angle TOU=90^\circ\)

laugh!

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 Feb 11, 2024

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