Answer:
It is not true that m/D = m/A.
In geometry, two lines are parallel if they are coplanar (lie in the same plane) and do not intersect. If two lines are parallel, then the measures of the corresponding angles (angles that lie on the same side of the transversal and between the same two lines) are equal. Therefore, if segment AD is parallel to segment BC and segment AB is parallel to segment CD, then the measure of angle ZD is equal to the measure of angle ZA, or m/D = m/A.
The other statements about the measure of angle ZD are true. If angle ZD is equal to angle ZA, then the sum of the measures of angles ZD and ZA is equal to 180 degrees. Additionally, if angle ZD is equal to angle ZA, then the measure of angle ZD is equal to the measure of angle ZB.
Therefore, the statement that is NOT true about the measure of angle ZD is:
D. m/D = m/A
Explanation:
It is not true that m/D = m/A.
In geometry, two lines are parallel if they are coplanar (lie in the same plane) and do not intersect. If two lines are parallel, then the measures of the corresponding angles (angles that lie on the same side of the transversal and between the same two lines) are equal. Therefore, if segment AD is parallel to segment BC and segment AB is parallel to segment CD, then the measure of angle ZD is equal to the measure of angle ZA, or m/D = m/A.
The other statements about the measure of angle ZD are true. If angle ZD is equal to angle ZA, then the sum of the measures of angles ZD and ZA is equal to 180 degrees. Additionally, if angle ZD is equal to angle ZA, then the measure of angle ZD is equal to the measure of angle ZB.
Therefore, the statement that is NOT true about the measure of angle ZD is:
D. m/D = m/A