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here is the pic of the solution
with step of construction
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★ Draw a line segment AB and mark a point C on it.
★ By pointing compass on C, draw a semi circle and named the points formed as P and Q
★ From P, draw an arc of 60° and named it as R.
★ From R, draw another arc of 120° and named it as S.
★ By pointing on R and S, draw two intersecting arcs and named the point formed as T.
★ Join T to C.
★ Now named the point which touches the semi circle and TC as M.
★ By pointing on M and S, draw two intersecting arcs and named the point formed as N.
★ Join NC.
★ Angle NCB = 105°
★ Now, draw the angle bisector of angle NCB, we get angle DCB = 52½°
★ Now shade angle DCB.
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