Naming Angles Worksheet | PDF Printable Geometry Worksheet - Free Printable

To solve the problem, we need to analyze each angle in the image and determine its estimate, type, and notation. Here's a step-by-step explanation for each angle:

Step 1: Understand the Angle Types

- Acute Angle: An angle less than 90°.
- Right Angle: An angle exactly 90°.
- Obtuse Angle: An angle greater than 90° but less than 180°.
- Straight Angle: An angle exactly 180°.
- Reflex Angle: An angle greater than 180° but less than 360°.

Step 2: Analyze Each Angle

#### Angle 1 (D-E-F)
- Estimate: The angle appears to be around 45°.
- Type: Acute
- Notation: ∠DEF

#### Angle 2 (G-H-I)
- Estimate: The angle appears to be around 60°.
- Type: Acute
- Notation: ∠GHI

#### Angle 3 (J-K-L)
- Estimate: The angle appears to be around 120°.
- Type: Obtuse
- Notation: ∠JKL

#### Angle 4 (N-M-O)
- Estimate: The angle appears to be around 90°.
- Type: Right
- Notation: ∠NMO

#### Angle 5 (P-Q-R)
- Estimate: The angle appears to be around 150°.
- Type: Obtuse
- Notation: ∠PQR

#### Angle 6 (S-T-U)
- Estimate: The angle appears to be around 270°.
- Type: Reflex
- Notation: ∠STU

#### Angle 7 (W-V-X)
- Estimate: The angle appears to be around 90°.
- Type: Right
- Notation: ∠WXV

#### Angle 8 (Z-Y-A)
- Estimate: The angle appears to be around 135°.
- Type: Obtuse
- Notation: ∠ZYA

#### Angle 9 (P-E-T)
- Estimate: The angle appears to be around 110°.
- Type: Obtuse
- Notation: ∠PET

Final Answer Table

| Angle | Estimate | Type | Notation |
|-------|----------|----------|----------|
| D-E-F | 45° | Acute | ∠DEF |
| G-H-I | 60° | Acute | ∠GHI |
| J-K-L | 120° | Obtuse | ∠JKL |
| N-M-O | 90° | Right | ∠NMO |
| P-Q-R | 150° | Obtuse | ∠PQR |
| S-T-U | 270° | Reflex | ∠STU |
| W-V-X | 90° | Right | ∠WXV |
| Z-Y-A | 135° | Obtuse | ∠ZYA |
| P-E-T | 110° | Obtuse | ∠PET |

Final Answer

\[
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{Angle} & \text{Estimate} & \text{Type} & \text{Notation} \\
\hline
D-E-F & 45^\circ & \text{Acute} & \angle DEF \\
G-H-I & 60^\circ & \text{Acute} & \angle GHI \\
J-K-L & 120^\circ & \text{Obtuse} & \angle JKL \\
N-M-O & 90^\circ & \text{Right} & \angle NMO \\
P-Q-R & 150^\circ & \text{Obtuse} & \angle PQR \\
S-T-U & 270^\circ & \text{Reflex} & \angle STU \\
W-V-X & 90^\circ & \text{Right} & \angle WXV \\
Z-Y-A & 135^\circ & \text{Obtuse} & \angle ZYA \\
P-E-T & 110^\circ & \text{Obtuse} & \angle PET \\
\hline
\end{array}
}
\]