Describing Angles Worksheet | Cazoom Maths Worksheets - Free Printable

Let’s go through each angle one by one. We’ll estimate the size, name the type of angle, and write its notation — just like in the example.

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Row 2: Angle DEF (vertex at E)
- The angle looks a bit bigger than the example (35°), maybe around 60°.
- It’s still less than 90°, so it’s ACUTE.
- Notation: ∠DEF (vertex is E, so middle letter)

→ Estimate: 60° | Type: ACUTE | Notation: ∠DEF

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Row 3: Angle GHI (vertex at H)
- This looks very small — smaller than the first example. Maybe 25°?
- Still under 90° → ACUTE
- Notation: ∠GHI

→ Estimate: 25° | Type: ACUTE | Notation: ∠GHI

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Row 4: Angle JKL (vertex at K)
- This looks wider than 90° but not too wide — maybe 110°?
- Between 90° and 180° → OBTUSE
- Notation: ∠JKL

→ Estimate: 110° | Type: OBTUSE | Notation: ∠JKL

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Row 5: Angle MNO (vertex at M) — reflex angle!
- The arc goes the long way around — this is a reflex angle.
- Looks like about 270° (since it’s almost a full circle minus a right angle).
- Reflex angles are between 180° and 360° → REFLEX
- Notation: ∠NMO or ∠OMN? Wait — vertex is M, and the arc shows the big angle from N to O going the long way. So we write ∠NMO for the reflex angle? Actually, standard notation uses the three points with vertex in middle. Since it’s reflex, we might need to specify, but usually we just write ∠NMO and understand from context. But since the diagram marks the reflex arc, we can write ∠NMO as reflex. Alternatively, sometimes written as “reflex ∠NMO”. But for simplicity, let’s use ∠NMO and note it’s reflex.

Actually, looking again — the arc is drawn on the outside, meaning it’s the larger angle. So yes, reflex. Let’s say 270°.

→ Estimate: 270° | Type: REFLEX | Notation: ∠NMO

*(Note: Some teachers prefer writing “reflex ∠NMO” to be clear, but if the table doesn’t have space, just ∠NMO is okay if the diagram shows the reflex arc.)*

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Row 6: Angle PRQ (vertex at R)
- Very narrow angle — looks like 20°?
- Less than 90° → ACUTE
- Notation: ∠PRQ (vertex R)

→ Estimate: 20° | Type: ACUTE | Notation: ∠PRQ

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Row 7: Angle SUT (vertex at U)
- Looks like a right angle? Wait — no, slightly less? Or more? Actually, it looks close to 90°, maybe 85°?
- Still under 90° → ACUTE (if you think it’s exactly 90°, it would be RIGHT, but it looks a tiny bit less)
Wait — actually, looking closely, it might be intended to be right angle? But the lines aren’t perfectly perpendicular. Hmm. Let’s say 85° to be safe.
But many worksheets make these exact. Let me check — actually, in most such sheets, if it’s meant to be right, they draw a square corner. Here, no square, so probably acute. Let’s stick with 85°, ACUTE

Notation: ∠SUT

→ Estimate: 85° | Type: ACUTE | Notation: ∠SUT

*(Alternative: If your teacher says it’s 90°, then RIGHT — but based on drawing, I’ll go with 85° acute.)*

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Row 8: Angle XWV (vertex at W)
- Clear right angle — looks exactly 90°. There’s even a little square mark? Wait, no square, but the lines are horizontal and vertical. Definitely 90°
- Type: RIGHT
- Notation: ∠XWV

→ Estimate: 90° | Type: RIGHT | Notation: ∠XWV

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Row 9: Angle AZY (vertex at Z)
- This is a reflex angle again — the arc goes the long way.
- Looks like about 300°? (Since it’s almost a full circle, missing about 60°)
- Between 180° and 360° → REFLEX
- Notation: ∠AZY (vertex Z)

→ Estimate: 300° | Type: REFLEX | Notation: ∠AZY

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Row 10: Angle TPE (vertex at P)
- This looks obtuse — wider than 90°, less than 180°. Maybe 130°?
- Type: OBTUSE
- Notation: ∠TPE (vertex P)

→ Estimate: 130° | Type: OBTUSE | Notation: ∠TPE

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Now let’s compile all answers into the table format:

──────────────────────────────────────

Final Answer:

| Angle Diagram | Estimate | Type | Notation |
|---------------|----------|----------|----------|
| Example | 35° | ACUTE | ∠ABC |
| D-E-F | 60° | ACUTE | ∠DEF |
| G-H-I | 25° | ACUTE | ∠GHI |
| J-K-L | 110° | OBTUSE | ∠JKL |
| N-M-O | 270° | REFLEX | ∠NMO |
| P-R-Q | 20° | ACUTE | ∠PRQ |
| S-U-T | 85° | ACUTE | ∠SUT |
| X-W-V | 90° | RIGHT | ∠XWV |
| A-Z-Y | 300° | REFLEX | ∠AZY |
| T-P-E | 130° | OBTUSE | ∠TPE |

*(Note: Estimates may vary slightly depending on how you see the drawings — that’s normal! Just make sure the type matches your estimate.)*