self Maths Puzzle

A,O,B are three points on a line segment and C is a point not lying on AOB
if angle AOC=40 degree and OX ,OY ARE THE INTERNAL AND EXTERNAL BISECTORS OF AOC RESP,THEN ANGLE BOY IS

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self Other Question

2-cos^2theta=3 sin theta*cos theta sintheta is not equal to cos theta, then tan theta is the capacity of two hemispherical vessels are 6.4litres and 21.6 litres. The ratio of their inner radii is