Question

Which statements regarding the diagram of ΔEBC are true? Check all that apply.

∠BEC is an exterior angle.
∠DEC is an exterior angle.
∠ABE and ∠EBC are supplementary angles.
∠BCF and ∠BEC are supplementary angles.
∠BEC is a remote interior angle to exterior ∠BCF.
Which statements regarding the diagram of ΔEBC are true? Check all that apply.

∠BEC is an exterior angle.
∠DEC is an exterior angle.
∠ABE and ∠EBC are supplementary angles.
∠BCF and ∠BEC are supplementary angles.
∠BEC is a remote interior angle to exterior ∠BCF.

Answer 1

Thank you for asking this question. The correct answers would be:

B. ∠DEC is an exterior angle.

C. ∠ABE and ∠EBC are supplementary angles.

∠BEC is an interior angle as it was located inside the triangle. ∠DEC is an exterior angle since it was located outside the triangle. ∠ABE and ∠EBC are supplementary angles because their sum is 180. ∠BCF is not making a supplementary angle with ∠BEC.

∠BEC and ∠EBC is a remote interior angle to exterior ∠BCF. I think it should be false since the option only put one of the remote interior angles.