https://file.aiquickdraw.com/mathbot/file/1724883521022vphd1ija.jpg

Use the figure at the right to answer question #13-14
13. What is another name for ÐXYW? _______
14. mÐXYW + mÐZYW = _________

Let's analyze the image and answer the questions:

### 13. What is another name for ∠XYW?
In the figure, ∠XYW is an angle formed by the rays \( YW \) and \( XY \), where \( Y \) is the vertex. Another name for ∠XYW could be **∠1** (as labeled in the figure), since angle 1 is the same angle as ∠XYW.

### 14. \( m∠XYW + m∠ZYW = \) _________
\( m∠XYW \) (which is ∠1) and \( m∠ZYW \) (which is ∠2) are supplementary angles because they form a straight line (angle \( XYZ \) is a straight line). Therefore, their measures add up to \( 180^\circ \).

So, \( m∠XYW + m∠ZYW = 180^\circ \).

Would you like further details or explanations? 

Here are five related questions to expand your understanding:
1. What does it mean for two angles to be supplementary?
2. How can you identify vertical angles in a figure?
3. If you know one angle in a linear pair, how can you find the other?
4. What is the difference between adjacent and supplementary angles?
5. Can two angles be both adjacent and supplementary?

**Tip:** Remember, when two angles form a straight line, they are always supplementary, summing to \( 180^\circ \).

Explore angle properties with detailed answers to questions 13 and 14. Learn about supplementary angles and angle nomenclature. Suitable for Grades 7-9.

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