The diagonals of rectangle ABCD intersect at point O, angle ACD = 54 degrees. Find the angle AOD.
| November 23, 2020 | education
Rectangle Diagonals Property – The diagonals are equal and are halved at the intersection. Consider a triangle asd: According to the 3-angle theorem, their sum = 180 degrees, but the angle sub = 180-54-90 = 36. Triangle ao is an isosceles triangle, but angle oab = angle abd = 36 degrees. Sl-but angle aod = 180-36-36 = 108
Answer: 108
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