Question

name each angle in four ways. 5) 6) 7) 8)

Explanation:

Step1: Recall angle - naming rules

An angle can be named by its vertex, by a number inside the angle, by three points with the vertex in the middle, and in some cases, by a Greek letter (not applicable here).

Step2: Name angle in problem 5

• By vertex: $\angle D$
• By number: $\angle 3$
• By three - points: $\angle EDC$ or $\angle CDE$

Step3: Name angle in problem 6

• By vertex: $\angle G$
• By number: $\angle 4$
• By three - points: $\angle FGE$ or $\angle EGF$

Step4: Name angle in problem 7

• By vertex: $\angle F$
• By number: $\angle 1$
• By three - points: $\angle EFG$ or $\angle GFE$

Step5: Name angle in problem 8

• By vertex: $\angle I$
• By number: $\angle 3$
• By three - points: $\angle JIH$ or $\angle HIJ$

Answer:

1. $\angle D$, $\angle 3$, $\angle EDC$, $\angle CDE$
2. $\angle G$, $\angle 4$, $\angle FGE$, $\angle EGF$
3. $\angle F$, $\angle 1$, $\angle EFG$, $\angle GFE$
4. $\angle I$, $\angle 3$, $\angle JIH$, $\angle HIJ$