This printable worksheet helps students identify and sort acute, right, and obtuse angles through a hands-on cut-and-paste activity.

To solve this problem, we need to sort each angle into the correct category based on its size. Let’s look at the definitions again:

- Acute angles are less than 90° — they look “sharp” or narrow.
- Right angles are exactly 90° — they form a perfect corner, like the letter L.
- Obtuse angles are between 90° and 180° — they look “wide” or open more than a right angle but not straight.

Now let’s go through each angle in the grid (row by row, left to right) and classify them.

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Row 1:

1. First angle (left): Looks wider than 90° → Obtuse
2. Second angle (middle): Has the square corner mark → Right
3. Third angle (right): Narrow, clearly less than 90° → Acute

Row 2:

4. Fourth angle (left): Sharp, small opening → Acute
5. Fifth angle (middle): Wide opening, more than 90° → Obtuse
6. Sixth angle (right): Also wide, looks like it's over 90° → Obtuse

Wait — let me double-check #6. It’s drawn with two lines forming an angle that opens widely — yes, definitely obtuse.

Row 3:

7. Seventh angle (left): Has the square corner mark → Right
8. Eighth angle (middle): Slightly tilted, but still has the square mark? Wait — actually, looking closely, it does NOT have the square mark. The arc is curved, and the angle appears to be slightly more than 90°? Hmm… Actually, no — if you compare it to the right angle above, this one seems to open a bit more. But wait — maybe it’s meant to be right? Let’s think differently.

Actually, in these worksheets, sometimes the square symbol is used only for clear right angles. If there’s no square, we judge by shape.

Angle #8: The two lines form what looks like a right angle even though it’s rotated. In geometry, rotation doesn’t change the angle measure. So if it forms a perfect corner, it’s still 90°. Looking carefully — yes, it should be Right.

But wait — let’s check the original image description again. The user said “do not describe the image”, so I must rely on standard interpretation.

Actually, let’s list all 12 angles systematically.

There are 4 rows × 3 columns = 12 angles total.

Let me label them as positions:

(1,1) (1,2) (1,3)
(2,1) (2,2) (2,3)
(3,1) (3,2) (3,3)
(4,1) (4,2) (4,3)

Now classify each:

(1,1): Angle opens wide — >90° → Obtuse
(1,2): Square corner → Right
(1,3): Small sharp angle → Acute

(2,1): Small sharp angle → Acute
(2,2): Opens wide — >90° → Obtuse
(2,3): Opens wide — >90° → Obtuse

(3,1): Square corner → Right
(3,2): This one is tricky. It’s rotated, but the arms form a 90° angle → Right
(3,3): Two lines forming a V-shape pointing down — the angle inside is less than 90°? Wait — actually, when we talk about the angle formed by two rays, we usually mean the smaller one unless specified. But in this case, the arc is drawn on the inner side, which looks acute. However, visually, it might be intended as acute. Let’s say Acute

Wait — hold on. Look at (3,3): It’s shaped like a downward-pointing V. The angle between the two lines — if you imagine extending them, the interior angle shown with the arc is actually less than 90°. Yes → Acute

(4,1): Very wide angle — almost straight line → Definitely >90° → Obtuse
(4,2): Upward-pointing V — the arc shows the inner angle, which looks like it could be around 90°? Or maybe a bit less? Actually, comparing to others, it looks similar to (1,3) but larger. Wait — no, it looks like it might be exactly 90°? But no square mark. Hmm.

Actually, let’s use logic: In such worksheets, if it’s meant to be right, they often put the square. Since (4,2) has no square, and the angle looks a bit less than 90°? Or more?

Wait — perhaps I made a mistake earlier. Let me recount using visual estimation:

Standard approach:

- Acute: < 90° — narrow
- Right: = 90° — square corner
- Obtuse: > 90° — wide

Let’s go again carefully:

Position (1,1): Line goes up-right from horizontal — angle is greater than 90° → Obtuse
Position (1,2): Vertical and horizontal with square → Right
Position (1,3): Small wedge → Acute

Position (2,1): Small wedge → Acute
Position (2,2): Wide angle → Obtuse
Position (2,3): Wide angle → Obtuse

Position (3,1): Horizontal and vertical with square → Right
Position (3,2): Rotated right angle — still 90° → Right
Position (3,3): Downward V — the angle marked is the reflex? No, the arc is on the smaller side. Actually, in most cases, the arc indicates the angle being measured. Here, the arc is on the inside of the V, which is less than 180°, and since it’s pointing down, the angle between the two lines is actually acute? Wait — no. If two lines form a V pointing down, the angle at the vertex is the same whether it points up or down. For example, if it’s symmetric, it could be 60°, 90°, etc.

Looking at (3,3): It looks like the angle is about 60–70° → Acute

Position (4,1): Almost a straight line — very wide → Obtuse
Position (4,2): Upward V — the arc is on the inside. Visually, it looks like it might be 90°? But no square. Alternatively, it could be slightly less. However, comparing to (1,3), which is clearly acute, this one looks wider. Maybe it’s obtuse? No — wait, if it’s pointing up, and the arms are going outwards, the angle inside is less than 180°. If it were 90°, it would look like a corner. This one looks like it’s opening to about 100°? That would make it obtuse.

I think I need to make a decision based on typical worksheet design.

In many such worksheets, the angles are designed to be clearly one type.

Let me try to count how many of each there should be. There are 12 angles. Probably balanced, but not necessarily.

Alternative method: List all and assign:

From top-left to bottom-right:

1. Obtuse
2. Right
3. Acute
4. Acute
5. Obtuse
6. Obtuse
7. Right
8. Right [rotated]
9. Acute [downward V, small angle]
10. Obtuse [almost straight]
11. ? [upward V — let's say it's acute? Or right?]
12. Acute [very narrow]

For position (4,2): The upward V — if you look at the arc, it's drawn on the inside, and the angle appears to be less than 90°? Actually, no — in the image description, it's likely that (4,2) is meant to be acute because it's similar to (1,3) but larger? I'm confusing myself.

Let me think differently. Perhaps I can group them:

Acute angles: those that are visibly narrow.

- (1,3)
- (2,1)
- (3,3) — downward V, small
- (4,3) — very narrow, almost parallel lines → definitely acute
- (4,2) — upward V — if it's symmetric and not too wide, it might be acute. Let's assume it's acute for now.

That's 5 acute.

Right angles:
- (1,2)
- (3,1)
- (3,2) — rotated right angle
That's 3 right.

Obtuse:
- (1,1)
- (2,2)
- (2,3)
- (4,1)
And possibly (4,2)? No, if (4,2) is acute, then we have 4 obtuse.

But 5 + 3 + 4 = 12. Good.

What about (4,2)? Let's decide: in the absence of a square, and since it's an upward V, if the arms are not perpendicular, it's not right. Visually, it looks like the angle is less than 90° — for example, like the hands of a clock at 1 o'clock, which is 30°, but here it's wider. Say 60° — still acute.

Yes, I'll go with that.

So final classification:

Acute: positions (1,3), (2,1), (3,3), (4,2), (4,3) → 5 angles

Right: (1,2), (3,1), (3,2) → 3 angles

Obtuse: (1,1), (2,2), (2,