Consider rectangle ABCD with diagonals BD and AC intersecting at E. Rectangle A B C D has diagonals B D and A C that intersect at the center of the rectangle at point E. Angles B C E is 52 degrees, angle C B E is 52 degrees, angle D E A is 104 degrees, and angle B E A is 76 degrees. Which is true about the angle relationships in the rectangle? Check all that apply. AngleBEA and AngleCED are vertical angles and equal 104°. AngleABE and AngleCBE are complementary angles. AngleBEC and AngleCED are vertical angles. AngleBEA and AngleAED are supplementary angles whose sum is 180°. AngleBEC and AngleAED are adjacent angles.

AngleBEA and AngleCED are vertical angles and equal 104°: This is true. Vertical angles are equal and since AngleBEA is given as 104 degrees, AngleCED will also be 104 degrees.

AngleABE and AngleCBE are complementary angles: This is false. Complementary angles add up to 90 degrees. Given that AngleABE is 76 degrees, AngleCBE would need to be 14 degrees to be complementary, but it is given as 52 degrees.

AngleBEC and AngleCED are vertical angles: This is false. Vertical angles are opposite each other when two lines intersect. AngleBEC and AngleCED are not formed by intersecting lines, but are adjacent angles in a triangle.

AngleBEA and AngleAED are supplementary angles whose sum is 180°: This is true. Supplementary angles add up to 180 degrees. Given that AngleBEA is 104 degrees, AngleAED would need to be 76 degrees to be supplementary, which is the given value.

AngleBEC and AngleAED are adjacent angles: This is false. Adjacent angles share a common vertex and a common side, but do not overlap. AngleBEC and AngleAED do not share a common side.