example 1
a) name the vertex of the angle.
b) name the sides of the angle.
c) give three ways to name the angle.
d) classify the angle.

Question

Accepted Answer

### a)
# Explanation:
## Step1: Recall vertex definition
The vertex of an angle is the common endpoint of its two sides. Here, the angle is formed at point $ K $ by rays $ KJ $ and $ KL $.
# Answer: $ K $

### b)
# Explanation:
## Step1: Identify angle sides
The sides of an angle are the two rays forming it. For the angle at $ K $, the rays are $ KJ $ and $ KL $.
# Answer: $ \overrightarrow{KJ} $, $ \overrightarrow{KL} $

### c)
# Explanation:
## Step1: Recall angle naming rules
- By vertex: $ \angle K $
- By three points (middle is vertex): $ \angle JKL $, $ \angle LKJ $
# Answer: $ \angle K $, $ \angle JKL $, $ \angle LKJ $

### d)
# Explanation:
## Step1: Analyze angle measure
Visually, the angle between $ \overrightarrow{KJ} $ and $ \overrightarrow{KL} $ appears to be greater than $ 90^\circ $ (right angle) and less than $ 180^\circ $ (straight angle), so it's obtuse.
# Answer: Obtuse angle

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QUESTION IMAGE

Question

Explanation:

a)

Step1: Recall vertex definition

Step1: Identify angle sides

Step1: Recall angle naming rules

Answer:

b)