Question

Which statements regarding the diagram of ΔEBC are true? Select three options.

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

Answer 1

Diagram: https://us-static.z-dn.net/files/d70/8cc7a89cb4a90000862532ec8a744bfe.png

Answer 2

Recall: interior angles are on the interior (inside) of a shape, while exterior angles are on the exterior (outside) of a shape. see reference: https://www.mathsisfun.com/geometry/images/interior-exterior-angles2.svg

supplementary angles are two angles that add up to 180

finally, remote interior angles are interior angles that are not adjacent to the exterior angle (see reference: https://www.katesmathlessons.com/uploads/1/6/1/0/1610286/remote-interior-angles-exterior-angle-triangle_orig.png)

with that in mind, go through the choices, reference the original diagram, and see which three statements are true.