Question

A diagonal of a rectangle is inclined to the one side of the rectangle at 25degree . find the acute angle between the diagonals

Answer 1

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from the given figure,

in triangle AOB,

angle OAB= angle OBA. (opp. angles of iso. triangle)__________(1)

angle AOB + angle OAB + angle OBA = 180

angle AOB +25+25=180

angle AOB=130

so,. angle DOA + angle AOB = 180. ( linear pair).

angle DOA +130=180

angle DOA = 50

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