Complementary Supplementary Angles Worksheets With Answer Key

Print 12 figures: 6 complements to find, then 6 supplements, with the subtraction shown beside every answer in the key.

12 problems on one page, plus the answer key. Sheet 3KMGN7.

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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 complementary supplementary angles worksheet opens with 12 figures on one page: 6 complements to find, then 6 supplements. Press Print or PDF, or New sheet for fresh angles. The answer key prints on its own page with each subtraction shown.

Read the full guide

Four tasks under On the sheet

Find the complement and Find the supplement draw the pair touching, with one angle marked x. Complementary, supplementary or neither draws two separate angles and asks students to circle a name. The neither pairs miss by 5° or 10°, as in 139° and 51°. Solve for x labels an angle with an expression, as in (3x − 44) + 50 = 90. Under Missing angles are, Expressions puts x in both angles.

Text only: 24 problems on one page

Set Layout to Text only and each line reads The complement of 72° is ____°. Without figures, 24 problems fit one page. With figures, the opening 12 fit one page and 16 or 24 take 2. Switch off Find the supplement for a complementary angles worksheet alone.

  • A complement figure marks its 90° whole with a small square at the vertex, not with a number.
  • Complementary, supplementary or neither prints 2 figures to a row, so 12 of those problems take 2 pages.
  • Text only widens the range: complements of 3° to 87°, where the figures stay between 20° and 70°.

Questions and answers

What are complementary and supplementary angles?

Complementary angles add up to 90° and supplementary angles add up to 180°. The two angles do not have to touch. A supplementary pair that shares a side and forms a straight line is called a linear pair.

Is there a complementary and supplementary angles worksheet PDF?

Yes, through your browser. Press Print or PDF, then choose Save as PDF as the printer. The file holds the sheet and its answer key, fitted to US Letter or A4. The page has no separate download button.

How do you find a complement or a supplement?

Subtract the angle from 90° for its complement, or from 180° for its supplement. On the opening sheet, the complement of 62° is 28° and the supplement of 66° is 114°. The key prints each subtraction in brackets.

What grade is this worksheet for?

Common Core 7.G.5 has grade 7 students use facts about supplementary, complementary, vertical and adjacent angles in multi-step problems to write and solve equations for an unknown angle. Solve for x sets the single-step kind only. The two Find tasks need only subtraction.