Question

1. name each angle at least 2 different ways. remember to use correct notation. 9. construct two angles ∠abc and ∠dbe that share a common vertex. 10. construct two angles ∠lmn and ∠lmp that share a common vertex and one common side.

Explanation:

Step1: Name angles in part A

An angle can be named by its vertex - point U. Also by three points with the vertex in the middle: $\angle AUQ$ or $\angle QU A$.

Step2: Name angles in part B

Using the vertex - point L. And three - point naming: $\angle MLB$ or $\angle BLM$.

Step3: Name angles in part C

Using the vertex - point H. And three - point naming: $\angle LHN$ or $\angle NHL$.

Step4: Construction for part 9

Draw a point B. From point B, draw two different pairs of rays. Name one pair of rays as BA and BC to form $\angle ABC$, and the other pair as BD and BE to form $\angle DBE$. The common vertex is B.

Step5: Construction for part 10

Draw a point M. From point M, draw three rays. Name two of the rays as ML and MN to form $\angle LMN$, and another two rays as ML and MP to form $\angle LMP$. The common vertex is M and the common side is ML.

Answer:

A. $\angle U$, $\angle AUQ$;
B. $\angle L$, $\angle MLB$;
C. $\angle H$, $\angle LHN$;

1. Draw as described above;
2. Draw as described above.