Question

in the figure PQ = to RS and angle is equal to 40 Degrees find the angle o p q and angular voice

Answer 1

In triangle OPQ and ORS,
PQ=RS
OR=OP (radius)
OS=OQ(radius)
so , by SSS congruence criterion, triangle OPQ is congruent to triangle ORS
Therefore, by CPCTC , angle OPQ= ORS = 48 degrees
as ORS is an isoceles triangles,
angle ROS = (180- 2×48) = 84 degrees

Ans- angle OPQ is 48 degrees and ROS is 84 degrees