Measuring angles worksheets | Worsheets library - Free Printable

To measure these angles, you would normally place the center of a protractor on the corner (vertex) where the two lines meet. Then, you line up the bottom line with the zero mark and read the number where the other line points.

Since I cannot physically place a tool on the screen, I have estimated the measurements based on standard geometric shapes. Here is the step-by-step breakdown:

1. Angle 1: This angle is slightly larger than a square corner ($90^\circ$). It looks like it opens up about $15^\circ$ more than a right angle.
* Estimate: $90^\circ + 15^\circ = 105^\circ$.

2. Angle 2: This is a reflex angle (it goes around the outside). The straight line part is $180^\circ$. The small slice missing from the circle looks to be about $30^\circ$. So, we subtract that from a full circle ($360^\circ$) or add it to the straight line.
* Estimate: $180^\circ + 150^\circ = 330^\circ$ (Looking closely, the inner angle is very sharp, maybe $30^\circ$, so the outer is $330^\circ$). *Correction*: Let's look closer. The line goes almost all the way around. The gap looks like roughly $30-40$ degrees. Let's say the inner angle is $30^\circ$. Then the measured angle is $360^\circ - 30^\circ = 330^\circ$.

3. Angle 3: This angle is clearly obtuse (bigger than $90^\circ$). It looks like a standard $135^\circ$ angle (halfway between $90^\circ$ and $180^\circ$).
* Estimate: $135^\circ$.

4. Angle 4: This is an acute angle (smaller than $90^\circ$). It is quite narrow. It looks to be about $30^\circ$.
* Estimate: $30^\circ$.

5. Angle 5: This is an obtuse angle. It looks wider than Angle 1 but not as wide as Angle 3. It looks like roughly $110^\circ$ or $120^\circ$. Let's go with $110^\circ$.
* Estimate: $110^\circ$.

6. Angle 6: This is also a reflex angle. The straight line is $180^\circ$. The extra bit at the bottom looks small, maybe $15-20^\circ$. So, $180^\circ + 15^\circ = 195^\circ$.
* Estimate: $195^\circ$.

7. Angle 7: This is a very narrow acute angle. It looks smaller than Angle 4. Probably around $20^\circ$.
* Estimate: $20^\circ$.

8. Angle 8: This is an obtuse angle. It looks very similar to Angle 3. Let's estimate it at $135^\circ$.
* Estimate: $135^\circ$.

9. Angle 9: This is an acute angle. It looks like half of a right angle ($45^\circ$).
* Estimate: $45^\circ$.

*Note: Without a physical protractor, these are best estimates based on visual geometry standards.*

Final Answer:
1. $105^\circ$
2. $330^\circ$
3. $135^\circ$
4. $30^\circ$
5. $110^\circ$
6. $195^\circ$
7. $20^\circ$
8. $135^\circ$
9. $45^\circ$