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hello friends welcome to our Channel brain explorers where we share all kinds of brain boosters teasers puzzles riddles and stamping questions here is our previous question find the ratio of areas of shaded and unshaded region in the following figure here we have an isosceles triangle there is a circle inscribed in it which is touching all three sides of the triangle and another circle is touching the previous circle and two thirds of the triangle and in the similar way many circles are drawn here equal angles of the isosceles triangle are given theta here we have to calculate the ratio of areas of shaded region and unshaded region if you have not tried this question yet you can pause the video for more time so here is the solution letamp;#39;s draw a direct common tangent to the first two circles now if we analyze only that part of the triangle which is on the left side of this tangent then we can clearly see that the triangle that we get is exactly same as the previous one and here