Question

please explain your answer properly

Answer 1

sorry for the poor handwriting ,
see dude , angle drawn on the circle from a chord is equal to the half of angle drawn at the center of the circle from the same chord so
angle.pqr= ½ reflex angle por
120°=½reflex angle por
reflex angle por = 240°
in triangle por
po=or (radii of the circle )
so angle opr = angle ORP=x°(let)(angles opposite to equal sides are equal)
in triangle por
angle opr +angle orp+ angle por =180° (angle sum property)
x°+x°+120°=180°
2x°=60°
x=30°
so angle opr = 30°