Describing Angles worksheet for students to estimate, classify, and notate angles.

Let’s go through each angle one by one. We’ll estimate its size, say what type it is (acute, right, obtuse, reflex), and write the correct notation using the three letters given.

Remember:
- Acute = less than 90°
- Right = exactly 90°
- Obtuse = between 90° and 180°
- Reflex = more than 180°

Notation always uses the vertex (corner point) in the middle — like ∠ABC means B is the corner.

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Angle DEF (D-E-F)
Looks like a small sharp angle — maybe around 50°.
Type: Acute
Notation: ∠DEF or ∠FED → but since E is the vertex, we write ∠DEF (middle letter is vertex).

Wait — looking at the diagram: points are D, E, F with E as the vertex. So yes, ∠DEF.

Estimate: 50°
Type: ACUTE
Notation: ∠DEF

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Angle GHI (G-H-I)
This looks even smaller — maybe 30°?
Vertex is H.
Type: Acute
Notation: ∠GHI

Estimate: 30°
Type: ACUTE
Notation: ∠GHI

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Angle JKL (J-K-L)
This one opens wider — looks like about 120°.
Vertex is K.
Type: Obtuse (between 90° and 180°)
Notation: ∠JKL

Estimate: 120°
Type: OBTUSE
Notation: ∠JKL

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Angle MNO (M-N-O)
There’s a circle drawn around the outside — that means it’s the big angle going the long way around.
The small angle inside looks like 70°, so the reflex angle is 360° - 70° = 290°.
Vertex is N.
Type: REFLEX
Notation: ∠MNO (but note: sometimes they specify direction, but here just use the three points with vertex in middle)

Actually — wait! The arc is drawn on the *outside*, meaning we’re measuring the reflex angle. So yes, 290°.

Estimate: 290°
Type: REFLEX
Notation: ∠MNO

But let me double-check: if the inner angle is ~70°, then outer is 290° — correct.

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Angle PQR (P-Q-R)
Very narrow — looks like 25°.
Vertex is Q.
Type: Acute
Notation: ∠PQR

Estimate: 25°
Type: ACUTE
Notation: ∠PQR

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Angle STU (S-T-U)
Looks like about 70° — still acute.
Vertex is T.
Type: Acute
Notation: ∠STU

Estimate: 70°
Type: ACUTE
Notation: ∠STU

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Angle VWX (V-W-X)
Has a square corner mark — that means it’s exactly 90°.
Vertex is W.
Type: RIGHT
Notation: ∠VWX

Estimate: 90°
Type: RIGHT
Notation: ∠VWX

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Angle YZA (Y-Z-A)
Again, there’s a circle around the outside — reflex angle.
Inner angle looks like 40°, so reflex = 360° - 40° = 320°.
Vertex is Z.
Type: REFLEX
Notation: ∠YZA

Estimate: 320°
Type: REFLEX
Notation: ∠YZA

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Angle TPE (T-P-E)
Looks like about 110° — obtuse.
Vertex is P.
Type: OBTUSE
Notation: ∠TPE

Estimate: 110°
Type: OBTUSE
Notation: ∠TPE

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Now let’s put all answers into the table format as requested.

Final Answer:

| Angle | Estimate | Type | Notation |
|-------|----------|----------|----------|
| Example: ABC | 35° | ACUTE | ∠ABC |
| DEF | 50° | ACUTE | ∠DEF |
| GHI | 30° | ACUTE | ∠GHI |
| JKL | 120° | OBTUSE | ∠JKL |
| MNO | 290° | REFLEX | ∠MNO |
| PQR | 25° | ACUTE | ∠PQR |
| STU | 70° | ACUTE | ∠STU |
| VWX | 90° | RIGHT | ∠VWX |
| YZA | 320° | REFLEX | ∠YZA |
| TPE | 110° | OBTUSE | ∠TPE |