EM-1688

Tangent perpendicular to radius

E Math · Secondary 4 · Medium · Tangent perpendicular to radius

1. $\angle OPT = 90^\circ$ because a radius is perpendicular to the tangent at the point of contact.
2. $\angle OPT = 60^\circ$ because all tangents meet radii at $60^\circ$.
3. $\angle OPT = 180^\circ$ because $OP$ and $PT$ are collinear.
4. $\angle OPT = 45^\circ$ because $OP = PT$.

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