In rectangle ABCD, the diagonals intersect at point O. E is the midpoint of side AB, angle BAC is 50 °.

In rectangle ABCD, the diagonals intersect at point O. E is the midpoint of side AB, angle BAC is 50 °. Find the EOD corner.

Point O is the middle of equal diagonals AC and ВD (property of a rectangle), triangle ABC is isosceles and EO is the median and bisector. Angle EOB = 1/2 * (180 “- 2 * 50”) = 40 “.
Angle EOD = 180 “- 40” = 140 “(as adjacent to angle EOB).



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