Geometry Worksheets | Angles Worksheets - Free Printable

To solve the problem, we need to estimate the size of each angle, determine its type (acute, right, obtuse, straight, reflex), and write its notation. Let's go through each angle step by step.

Step 1: Understand the Angle Types

- Acute Angle: Less than 90°
- Right Angle: Exactly 90°
- Obtuse Angle: Between 90° and 180°
- Straight Angle: Exactly 180°
- Reflex Angle: Between 180° and 360°

Step 2: Analyze Each Angle

#### Angle 1: ∠DEF
- Estimate: The angle appears to be less than 90°.
- Type: Acute
- Notation: ∠DEF

#### Angle 2: ∠GIH
- Estimate: The angle appears to be less than 90°.
- Type: Acute
- Notation: ∠GIH

#### Angle 3: ∠JKL
- Estimate: The angle appears to be between 90° and 180°.
- Type: Obtuse
- Notation: ∠JKL

#### Angle 4: ∠NMO
- Estimate: The angle appears to be exactly 90°.
- Type: Right
- Notation: ∠NMO

#### Angle 5: ∠PRQ
- Estimate: The angle appears to be less than 90°.
- Type: Acute
- Notation: ∠PRQ

#### Angle 6: ∠UST
- Estimate: The angle appears to be between 90° and 180°.
- Type: Obtuse
- Notation: ∠UST

#### Angle 7: ∠XWV
- Estimate: The angle appears to be exactly 90°.
- Type: Right
- Notation: ∠XWV

#### Angle 8: ∠ZYX
- Estimate: The angle appears to be less than 90°.
- Type: Acute
- Notation: ∠ZYX

#### Angle 9: ∠TPE
- Estimate: The angle appears to be between 180° and 360°.
- Type: Reflex
- Notation: ∠TPE

Final Answer Table

| Angle | Estimate | Type | Notation |
|-----------|------------|-----------|------------|
| ∠ABC | 35° | Acute | ∠ABC |
| ∠DEF | ~45° | Acute | ∠DEF |
| ∠GIH | ~30° | Acute | ∠GIH |
| ∠JKL | ~120° | Obtuse | ∠JKL |
| ∠NMO | 90° | Right | ∠NMO |
| ∠PRQ | ~60° | Acute | ∠PRQ |
| ∠UST | ~135° | Obtuse | ∠UST |
| ∠XWV | 90° | Right | ∠XWV |
| ∠ZYX | ~30° | Acute | ∠ZYX |
| ∠TPE | ~240° | Reflex | ∠TPE |

Boxed Final Answer

\[
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{Angle} & \text{Estimate} & \text{Type} & \text{Notation} \\
\hline
\angle DEF & \sim 45^\circ & \text{Acute} & \angle DEF \\
\hline
\angle GIH & \sim 30^\circ & \text{Acute} & \angle GIH \\
\hline
\angle JKL & \sim 120^\circ & \text{Obtuse} & \angle JKL \\
\hline
\angle NMO & 90^\circ & \text{Right} & \angle NMO \\
\hline
\angle PRQ & \sim 60^\circ & \text{Acute} & \angle PRQ \\
\hline
\angle UST & \sim 135^\circ & \text{Obtuse} & \angle UST \\
\hline
\angle XWV & 90^\circ & \text{Right} & \angle XWV \\
\hline
\angle ZYX & \sim 30^\circ & \text{Acute} & \angle ZYX \\
\hline
\angle TPE & \sim 240^\circ & \text{Reflex} & \angle TPE \\
\hline
\end{array}
}
\]