The angle between the diagonals of a rectangle is 64. Find the degree measure of the angle
| September 8, 2021 | education
The angle between the diagonals of a rectangle is 64. Find the degree measure of the angle between the larger side of this rectangle and one of its diagonals.
Let us draw a height from point O to the side CD, which is also a bisector, since the triangle COD is isosceles.
The bisector OK divides the angle SOD into angles 32, СOК = KOВ = 32. The angles СOD and BCO are equal as they lie at the intersection of parallel lines BC and AD of the secant AC. Angle ВСО = 32.
Answer: BCO = 32.
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