1.

The diagonals of a rectangle ABCD meet at O. IfBOC-50" then findODA.So

Answer»

Given angle BOC = 50°

and angle AOD = BOC ...( vertically opposite angles)

now, in ∆AOD , since AO = OD ...( diagonal bisector)

so, angle ODA = OAD , let say x .

now adding all angles we get

x+x + 50° = 180°=> 2x = 180°-50° = 130° =>x = 130°/2 = 65°

which means angle ODA = 65°



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