EM-277

Tangent perpendicular to radius

E Math · Secondary 3 · Hard · Tangent perpendicular to radius

A circle has centre O. A tangent touches the circle at P. A line PO is drawn to the centre. Another line PQ is drawn so that the angle between OP and PQ is

37^\circ

. PQ lies between OP and the tangent. What is the angle between PQ and the tangent at P?

$53^\circ$
$37^\circ$
$127^\circ$
$143^\circ$

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