Question

Suppose CM and DM intersect AB as shownAlison states < AMC + < CMD+ < DMB = < AMB which of the following justifies Alison's statement?A. Angle Addition PostulateB. Segment Addition PostulateС. Construction of an Angle BisectorD. Definition of Supplementary Angles

Answer 1

Answer: D. Definition of Supplementary Angles

Explanations:

Note from the diagram shown that:

AMB forms a straight line

This means that < AMB = 180 degrees (Because sum of angles on a straight line is 180 degrees)

Also note that the sum of angles on a straight line is 180 degrees

< AMC + < CMD + < DMB = 180 (sum of angles on a straight line)

Since < AMB = 180

< AMC + < CMD + < DMB = < AMB

Since the above indicates that the sum of the angles add up to 180 degrees, they are supplementary angles.

Note that supplementary angles are angles that add up to 180 degrees