Measuring acute angles using a protractor worksheet with multiple-choice options.

Let’s work through each part of the worksheet carefully.

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Part 1: Measure the angles below.

We are using a protractor to measure acute angles (angles less than 90°). Remember:

- Always line up the protractor’s baseline with one side of the angle.
- Read the scale that starts from 0° on that side.
- The other ray of the angle will point to the measurement.

Let’s go one by one:

a)
The angle opens to the left. We start reading from the left side (0° on the outer scale). The red line points to 40°.
✔ So, angle a = 40°

b)
This is a right angle — it goes straight up. It should be exactly 90°.
✔ So, angle b = 90°

Wait — the worksheet says “Measuring Acute Angles”, and 90° is not acute (it’s right). But since it’s drawn, we still measure it as shown.
Actually, looking again — yes, it’s exactly vertical → 90°.

But let’s double-check: if you look at the inner scale, starting from right (0°), it also hits 90°. So yes, 90°.

c)
Angle opens to the left. Start from left 0°. The line points to 80°.
✔ So, angle c = 80°

d)
Angle opens to the right. Start from right 0° (inner scale). The line is just above 10° — looks like 15°.
✔ So, angle d = 15°

e)
Angle opens to the left. Start from left 0°. The line points to 75°.
✔ So, angle e = 75°

f)
Angle opens to the right. Start from right 0°. The line points to 45°.
✔ So, angle f = 45°

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Part 2: Circle the most likely measurement.

These are visual estimates — no protractor needed. Just judge by how wide the angle looks.

a)
Looks very sharp — much smaller than 90°. Between 30° and 130°? Definitely closer to 30°.
✔ Circle 30°

b)
Looks almost straight but not quite — definitely more than 90°, less than 180°. 95° is close to straight? No — 95° is just past right angle. This looks steeper — maybe around 70°? Wait — actually, looking again: the angle is drawn with one side horizontal, other going up-left — it’s obtuse? Wait, no — in the image, it’s an acute angle? Let me re-express.

Actually, in part 2b, the angle shown is between a horizontal line and a line going up to the left — it looks like about 70–80 degrees? But options are 95°, 180°, 70°. 180° is straight — not this. 95° is slightly over 90° — this looks less than 90°. So 70° is best.

Wait — actually, looking at the drawing: the angle is marked with a small arc — it’s clearly less than 90°, so 70° is correct.

✔ Circle 70°

c)
This angle looks very close to 90°, maybe a bit more? Options: 85°, 250°, 110°. 250° is way too big (reflex angle). 85° is almost right angle — this looks like it might be 85° or 110°. Actually, it looks slightly *more* than 90° — so 110°? But wait — in the image, it’s drawn as an acute angle? Hmm.

Looking again: the angle in 2c has one side vertical, one side horizontal — but the arc is drawn inside, and it looks like it’s less than 90°? Actually, no — if one side is vertical and one is horizontal, and the arc is in the corner, it could be 90°, but here it’s tilted — actually, it looks like it’s about 85° — very close to 90° but slightly less.

Given options: 85°, 250°, 110° — 250° is impossible. 110° would be wider. This looks like 85°.

✔ Circle 85°

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Final Check:

Part 1:
a) 40°
b) 90°
c) 80°
d) 15°
e) 75°
f) 45°

Part 2:
a) 30°
b) 70°
c) 85°

All make sense.

Final Answer:
40°, 90°, 80°, 15°, 75°, 45°; 30°, 70°, 85°