name 4 ways to measure an angle
An angle can be measured with a protractor or a goniometer.
For a picture of a simple mechanical goniometer, see www.babinski.de/.../bsf21_30_179_Goniometer.html
For a description and picture of a laser goniometer, see
http://www.catra.org/pages/products/razors/razlgpm.htm
You can also measure the rise-to-run ratio (which is equivalent to the tangent) and use a trigonometric table to convert to degrees.