Practice Angle Measurement in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Angle measurement is the process of determining the size of an angle in degrees using a protractor or by calculation.
A protractor is like a ruler for turns — it tells you exactly how much one line has rotated from another.
Showing a random 20 of 50 problems.
Example 1
mediumA skateboarder does a '360'. How many full turns is that, and what about a '540'?
Example 2
easyDoes making the rays of an angle longer change the angle measure?
Example 3
mediumAn angle measures 50°. What is its reflex angle?
Example 4
challengeConvert radians to degrees.
Example 5
mediumWhat is the complement of ?
Example 6
easyWhat tool measures angles?
Example 7
hardA regular hexagon's interior angle is how many degrees?
Example 8
hardAn angle is three times its supplement. Find the angle. The angle x is three times its supplement (45°); find x.
Example 9
hardFind the angle between clock hands at 2:30.
Example 10
easyHow many degrees is a half turn?
Example 11
challengeFind the angle between clock hands at 4:20.
Example 12
mediumA turn of 540° is equivalent to what angle between 0° and 360°?
Example 13
easyHow many degrees is a three-quarter turn?
Example 14
mediumA protractor reading shows one ray at and the other at . What angle do they form?
Example 15
easyHow many degrees is a quarter turn?
Example 16
hardHow many degrees does the hour hand move in 20 minutes?
Example 17
mediumAn angle and its reflex partner add to . If the angle is , what is the reflex?
Example 18
hardTwo complementary angles differ by . Find the smaller angle.
Example 19
easyAn angle greater than 180° but less than 360° is called what?
Example 20
mediumTwo angles together make a straight line. One is . Find the other. Two angles on a straight line sum to 180°.