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2angle PQR = angle POR ( angle subtended at the center is double of the angle subtended anywhere except center by the same arc)
2×100 = angle POR
200° = angle POR
reflex POR = 360-200 ( a point has 360°)
reflex POR = 160°
Now,
angle OPR = angle ORP ( angle opposite to equal sides are equal , since the sides are radii)
In ∆OPR,
angle OPR + angle ORP + reflex POR = 180° ( sum of all interior angles of a triangle is 180°)
angle OPR + angle OPR = 180-160 ( angle OPR = angle ORP ,, shown above))
2angle OPR = 20°
angle OPR = 10°
2×100 = angle POR
200° = angle POR
reflex POR = 360-200 ( a point has 360°)
reflex POR = 160°
Now,
angle OPR = angle ORP ( angle opposite to equal sides are equal , since the sides are radii)
In ∆OPR,
angle OPR + angle ORP + reflex POR = 180° ( sum of all interior angles of a triangle is 180°)
angle OPR + angle OPR = 180-160 ( angle OPR = angle ORP ,, shown above))
2angle OPR = 20°
angle OPR = 10°
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