Question

Diagonals of a rectangle ABCD meet at O. If angle BOC=44°, find angleAOD

Answer 1

angle BOC=angle A O D. (vertically opposite angle)

so,

angle AOD =44

in triangle AOD,

angle OAD= angle ODA. (opp angles of Iso. Tri.)

angle A O D + angle OAD + angle ODA= 180

44+angle OAD + angle OAD=180

2(angle OAD)=136

angle OAD=68