In Fig. if x + y = w + z, then prove that AOB is a line.
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In Fig. lines XY and MN intersect at O. If ∠POY = 90° and a : b = 2 : 3, find c.
In Fig. ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT.
It is given that ∠XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP.