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ABCD is a parallelogram the angle bisector of angleA and angleD intersect at O. Find the measure of angle AOD

  • maths -

    Did you make your sketch?
    let angle A be 2x
    let angle D be 2y
    because of the parallel lines,
    2x + 2y = 190
    x + y = 90

    after bisection of angle A and D
    look at triangle AOD
    we have x + y + angle AOD = 180
    90 + angle AOD = 180
    angle AOD = 90°

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