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12. Two lines AB and CD intersect at a point O such that ∠BOC + ∠AOD = 280 ,
as shown in the
Figure. Find all the four angles.

13. In the given figure, the two lines AB and CD intersect at a point ‘O’ such that
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∠BOC = 125 . Find the values of x, y and z.

.

14. If two straight lines intersect each other than prove that the ray opposite to
the bisector of one of the angles so formed bisects the vertically opposite
angle.

15. In the given figure, three lines AB, CD and EF intersect at a point O such
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that ∠AOE = 35 and ∠BOD = 40 . Find the measure of ∠AOC, ∠BOF, ∠COF
and ∠DOE.

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