Describing Angles worksheet for students to estimate angle sizes, identify types, and write notations.

Let’s go through each angle one by one.

We need to fill in:
- Estimate: How many degrees do you think the angle is? (Just a guess — close enough!)
- Type: Is it ACUTE (<90°), RIGHT (=90°), OBTUSE (>90° but <180°), or REFLEX (>180°)?
- Notation: Write the angle using three letters, with the middle letter being the vertex (the point where the two lines meet). The symbol ∠ goes before the three letters.

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Angle DEF
Looks like about 60°. It’s less than 90° → ACUTE. Vertex is E → ∠DEF

Angle GHI
Very small — maybe around 30°. Still less than 90° → ACUTE. Vertex is H → ∠GHI

Angle JKL
Wider than 90°, looks like maybe 120°. Greater than 90° but less than 180° → OBTUSE. Vertex is K → ∠JKL

Angle NMO
This one has a circle around it — that means it’s the big angle going the long way around. Looks like almost a full circle minus a little bit — maybe 300°? That’s more than 180° → REFLEX. Vertex is M → ∠NMO

Angle PRQ
Looks very narrow — maybe 40°. Less than 90° → ACUTE. Vertex is R → ∠PRQ

Angle SUT
Looks like it could be exactly 90° — there’s even a little square mark at the corner! → RIGHT. Vertex is U → ∠SUT

Angle WVX
Perfect L-shape — definitely 90°. → RIGHT. Vertex is W → ∠WVX

Angle AZY
The arc shows the reflex angle (big side) — so we’re measuring the outside, not the inside. Looks like maybe 270°? → REFLEX. Vertex is Z → ∠AZY

Angle PTE
Looks wider than 90° — maybe 150°? → OBTUSE. Vertex is T → ∠PTE

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Final Answer:

| Angle | Estimate | Type | Notation |
|-------|----------|----------|------------|
| DEF | 60° | ACUTE | ∠DEF |
| GHI | 30° | ACUTE | ∠GHI |
| JKL | 120° | OBTUSE | ∠JKL |
| NMO | 300° | REFLEX | ∠NMO |
| PRQ | 40° | ACUTE | ∠PRQ |
| SUT | 90° | RIGHT | ∠SUT |
| WVX | 90° | RIGHT | ∠WVX |
| AZY | 270° | REFLEX | ∠AZY |
| PTE | 150° | OBTUSE | ∠PTE |