Question

suppose CM and DM intersect AB as shown. allison states angleAMC + angleCMD + angleDMB = angleAMB. which justifies allison’s statement?

Answer 1

Answer:

A. Angle Addition Postulate

Step-by-step explanation:

<AMC, <CMD, and <DMB are three angles on a straight line which makes up <AMB.

According to angle addition postulate, the measure of <AMB is the sum of these three angles.

Therefore, angle addition postulate justifies Allison's statement that states:

<AMC + <CMD + <DMB = <AMB.

Definition of supplementary angles deals with two angles adding up to equal 180°. So, definition of supplementary angles definitely does not justify his statement.

Segment addition nor construction of an angle bisector do not also justify his statement.

The right answer is: A. Angle Addition Postulate.