Question

Which statements regarding the diagram Triangle EBC are true? Select three options
•Angle BEC is an exterior angle
•Angle DEC is an exterior angle
•Angle ABE and EBC are supplementary angles
•Angle BCF and DEC are supplementary angles
•Angle BEC us a remote interior angle to exterior angle BCF​

Answer 1

Triangle EBC have interior angles and exterior angles. The three appropriate options to the given question are:

B. Angle DEC is an exterior angle

C. Angle ABE and EBC are supplementary angles

E. Angle BEC is a remote interior angle to exterior angle BCF​

An exterior angle is one that lies outside a given figure. Thus, it is not an interior angle of the figure. While an interior angle is an angle within the boundaries of the figure.

Supplementary angles are two or more angles whose measures add up to the value of angle on a straight line (i.e $180^{o}$).

Thus considering the given triangle EBC, the appropriate options to the question are:

B. Angle DEC is an exterior angle

C. Angle ABE and EBC are supplementary angles

E. Angle BEC is a remote interior angle to exterior angle BCF​

These three options best describes the relationships among the angles of the triangle.

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