Which is true about the angle relationships in the

rectangle? Check all that apply.

BEA and Z CED are vertical angles and equal

76º.

ZABE and Z CBE are complementary angles.

BEC and Z CED are vertical angles.

BEA and AED are supplementary angles

whose sum is 180°

BEC and AED are adjacent angles.

Question

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raphealnwobi raphealnwobi · Answer 1 · 2021-05-12T03:42:40+02:00

Answer:

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

Step-by-step explanation:

Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent to each other.

Complementary angles are angle whose sum add up to 90° while supplementary angles are angles whose sum add up to 180°

Two angles are adjacent if they are placed side by side and share the same vertex.

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEC and ∠CED are not vertical angles

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

∠BEA and ∠AED are not adjacent angles