Question

if point d is placed on (overline{ac}), how will the measure of (angle dab) relate to the measure of (angle cab)?
(mangle dab) will be greater than (mangle cab).
(mangle dab) will be less than (mangle cab).
(mangle dab) will be equal to (mangle cab).
(mangle dab) will be half of (mangle cab).

Explanation:

Step1: Analyze the position of point D

Since point D is on \(\overline{AC}\), \(\angle DAB\) is a part of \(\angle CAB\).

Step2: Use the angle - part relationship

By the property of angles, if one angle is a part of another angle, then the measure of the part - angle is less than the measure of the whole angle. So \(m\angle DAB

Answer:

\(m\angle DAB\) will be less than \(m\angle CAB\).