Worksheet A: Identify and classify angles as acute, obtuse, or right.

Problem Analysis:

The worksheet asks you to identify and classify angles as Acute, Obtuse, or Right based on their visual representation. Additionally, you need to draw specific angles labeled in the last three questions.

Solution:

#### Part 1: Name the angle and classify it
We will analyze each angle one by one and determine whether it is Acute, Obtuse, or Right.

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#### #1: Observe the angle CDE
- The angle is shown as an obtuse angle (greater than 90° but less than 180°).
- Classification: Obtuse

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#### #2: Observe the angle JFG
- The angle is shown as an acute angle (less than 90°).
- Classification: Acute

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#### #3: Observe the angle GHF
- The angle is shown as a right angle (exactly 90°).
- Classification: Right

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#### #4: Observe the angle PKQ
- The angle is shown as an obtuse angle (greater than 90° but less than 180°).
- Classification: Obtuse

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#### #5: Observe the angle STU
- The angle is shown as a right angle (exactly 90°).
- Classification: Right

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#### #6: Observe the angle ABC
- The angle is shown as an acute angle (less than 90°).
- Classification: Acute

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#### #7: Observe the angle XYZ
- The angle is shown as a right angle (exactly 90°).
- Classification: Right

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#### #8: Observe the angle VWT
- The angle is shown as an acute angle (less than 90°).
- Classification: Acute

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#### #9: Observe the angle KLM
- The angle is shown as an obtuse angle (greater than 90° but less than 180°).
- Classification: Obtuse

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Summary of Classifications for Questions #1 to #9:

1. Obtuse
2. Acute
3. Right
4. Obtuse
5. Right
6. Acute
7. Right
8. Acute
9. Obtuse

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#### Part 2: Draw the following angles
For questions #10, #11, and #12, you are asked to draw the specified angles.

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#### #10: Draw Obtuse angle BDL
- An obtuse angle is greater than 90° but less than 180°.
- Draw a vertex at point B.
- Extend one ray from B through D.
- Extend another ray from B through L such that the angle between them is greater than 90°.

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#### #11: Draw Right angle CAT
- A right angle is exactly 90°.
- Draw a vertex at point C.
- Extend one ray from C through A.
- Extend another ray from C through T such that the angle between them is exactly 90°.

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#### #12: Draw Acute angle CBA
- An acute angle is less than 90°.
- Draw a vertex at point B.
- Extend one ray from B through C.
- Extend another ray from B through A such that the angle between them is less than 90°.

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Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{#1: Obtuse} & \text{#2: Acute} \\
\text{#3: Right} & \text{#4: Obtuse} \\
\text{#5: Right} & \text{#6: Acute} \\
\text{#7: Right} & \text{#8: Acute} \\
\text{#9: Obtuse} & \\
\text{#10: Draw Obtuse angle BDL} & \\
\text{#11: Draw Right angle CAT} & \\
\text{#12: Draw Acute angle CBA} &
\end{array}
}
\]