Measuring Angles Worksheets

Print 4 large angles to measure with a protractor, acute and obtuse mixed, with every size in the answer key.

4 problems on one page, plus the answer key. Sheet TEJYR5.

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Angle facts behind every answer key

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The key of a sheet is worked out from these facts, never typed in, and every figure is drawn to its true size: lay a protractor on a printed angle and it agrees with the key to the degree.

NameRule
Acute angleless than 90°
Right angleexactly 90°, marked with a small square
Obtuse anglemore than 90° and less than 180°
Straight angleexactly 180°
Reflex anglemore than 180° and less than 360°
Complementary anglestwo angles that add up to 90°
Supplementary anglestwo angles that add up to 180°
Angles on a straight lineadd up to 180°
Angles around a pointadd up to 360°
Vertical (vertically opposite) anglesare equal
Angles in a triangleadd up to 180°
Angles in a quadrilateraladd up to 360°
Corresponding and alternate angles on parallel linesare equal
Same-side interior (co-interior) angles on parallel linesadd up to 180°

Every sheet has a short code, printed at the foot of the sheet and of its answer key. A share link brings the same sheet back, figure for figure, so a key printed later still fits the copies you handed out.

How it works

This measuring angles worksheet opens with 4 angles on one page, acute and obtuse mixed, each a multiple of 5°. Every ray prints about 60 mm (2 3/8 inches) long. Press Print or PDF, or New sheet for other angles.

Read the full guide

Five tasks, three that need no protractor

Under On the sheet, Measure with a protractor and Draw an angle on a ray need a real protractor. Read a printed protractor and Draw on a printed protractor put the half circle on the page, so an angle measurement worksheet still works in a room with no protractors. Two parts make a whole hides one angle of three, as in 90 − 55 = 35.

Tens, Fives or Any degree

Angle sizes sets how fine the readings are. For 4th grade angles worksheets, Tens gives sizes such as 60° and 140°; Any degree asks for sizes such as 68°. Reflex angles too adds angles past 180°, such as 305°. Problems sets 4 to 24: 4 measuring problems fit one page and 8 take 2.

  • Each ray prints about 60 mm long, past the edge of a 4 inch protractor. With a larger one, extend the ray with a ruler.
  • The angles are turned every way on the page, so students must turn the protractor or the paper.
  • A printed protractor has two scales. The key names the one to read, as in 85° (inner scale).

Questions and answers

How do you measure an angle with a protractor?

Put the center of the protractor on the vertex and line up one ray with 0. Follow the scale that starts at 0 on that ray, and read it where the other ray crosses. The Read a printed protractor task practices exactly that step.

Is this an angles worksheet for grade 4?

Yes. Common Core standard 4.MD.6 asks grade 4 students to measure angles in whole-number degrees using a protractor and to sketch angles of a given measure. Standard 4.MD.7 treats angle measure as additive: the Two parts make a whole task.

How close does a measurement have to be?

The key carries the note Measuring and drawing: allow 2° either way. For Draw an angle on a ray the key shows the finished angle. Shrinking the page to fit the paper changes no angle.