EM-1722

Tangent perpendicular to radius

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

In a circle with centre O, PQ is a tangent at point P. OP is a radius. If angle OPQ is 58°, what is angle PQR where R is another point on the circle such that Q, P, R are in order and PR is a chord?

Answer to the nearest degree.

$32^\circ$
$58^\circ$
$122^\circ$
$148^\circ$

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