In Fig. lines XY and MN intersect at O. If ∠POY = 90° and a : b = 2 : 3, find c.
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In Fig. lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE.
In Fig. ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT.
In Fig. if x + y = w + z, then prove that AOB is a line.
