the diagonals of a rectangle ABCD meet at O. IF angle BOC = 44, find angle OAD.

angle BOC = angle AOD ( V. O. A )

AC = BD ( diagonals of rectangle are equal )

=> 1/2 of AC = 1/2 of BD

=> AO = DO

so AOD is an isosceles triangle.

angle OAD = angle ODA

Now, in triangle AOD,

ANGLE OAD +ODA+ AOD =180 degree

=> 2OAD + 44 = 180

=> 2OAD = 180 - 44

=> 2OAD = 136

=> OAD = 68 degree