How to Measure an Angle Without a Protractor

Beginner 20 min 18 steps 1494 views Rating: 4.8/5 Published: 2026-06-14

Draw a vertical line connecting the 2 rays of the angle.. Measure the length of the adjacent side to find the run.. Measure the length of the opposite side to find the rise.

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Steps

1

Draw a vertical line connecting the 2 rays of the angle.

Step 1

Draw a vertical line connecting the 2 rays of the angle.

2

Measure the length of the adjacent side to find the run.

Step 2

Measure the length of the adjacent side to find the run.

3

Measure the length of the opposite side to find the rise.

Step 3

Measure the length of the opposite side to find the rise.

4

Divide rise by run to find the slope of the angle.

Step 4

Divide rise by run to find the slope of the angle.

5

Use your calculator to determine the degrees of the angle.

Step 5

Use your calculator to determine the degrees of the angle.

6

Extend the bottom ray of the angle in a straight line.

Step 6

Extend the bottom ray of the angle in a straight line.

7

Draw a vertical line connecting the top ray and the line.

Step 7

Draw a vertical line connecting the top ray and the line.

8

Measure the length of the bottom line from the vertex.

Step 8

Measure the length of the bottom line from the vertex.

9

Measure the length of the vertical line.

Step 9

Measure the length of the vertical line.

10

Find the slope of the acute angle.

Step 10

Find the slope of the acute angle.

11

Calculate the degrees of the acute angle.

Step 11

Calculate the degrees of the acute angle.

12

Subtract the degrees of the acute angle from 180.

Step 12

Subtract the degrees of the acute angle from 180.

13

Identify the smaller acute angle associated with the reflex angle.

Step 13

Identify the smaller acute angle associated with the reflex angle.

14

Draw a vertical line connecting the rays of the acute angle.

Step 14

Draw a vertical line connecting the rays of the acute angle.

15

Measure the rise and the run of the acute angle.

Step 15

Measure the rise and the run of the acute angle.

16

Divide rise by run to find the slope of the acute angle.

Step 16

Divide rise by run to find the slope of the acute angle.

17

Use your calculator to find the degrees of the acute angle.

Step 17

Use your calculator to find the degrees of the acute angle.

18

Subtract the degrees of the acute angle from 360.

Step 18

Subtract the degrees of the acute angle from 360.

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