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angle PRM = 30° ( alternate interior angle)
join MS then
angle RMS =90° ( ANGLE IN SEMICIRCLE, RS IS DIAMETER)
angle PMS = 120°
MPRS is cyclic quadrilateral
then
angle R + angle M =180°( opposite angle of cyclic quadrilateral)
angle PRM= 30°
by angle sum property in triangle RPM
angle RPM =60°
join MS then
angle RMS =90° ( ANGLE IN SEMICIRCLE, RS IS DIAMETER)
angle PMS = 120°
MPRS is cyclic quadrilateral
then
angle R + angle M =180°( opposite angle of cyclic quadrilateral)
angle PRM= 30°
by angle sum property in triangle RPM
angle RPM =60°
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