Angle Relationships Worksheet – Name 5 Kinds, Then Find x

Angle facts behind every answer key

Show the table

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.

Name	Rule
Acute angle	less than 90°
Right angle	exactly 90°, marked with a small square
Obtuse angle	more than 90° and less than 180°
Straight angle	exactly 180°
Reflex angle	more than 180° and less than 360°
Complementary angles	two angles that add up to 90°
Supplementary angles	two angles that add up to 180°
Angles on a straight line	add up to 180°
Angles around a point	add up to 360°
Vertical (vertically opposite) angles	are equal
Angles in a triangle	add up to 180°
Angles in a quadrilateral	add up to 360°
Corresponding and alternate angles on parallel lines	are equal
Same-side interior (co-interior) angles on parallel lines	add 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 angle relationships worksheet asks two things of each figure: how the marked angles are related, then x. It opens with 8 figures on one page. Press Print or PDF for the sheet and its answer key, or New sheet for others.

Read the full guide

Five relationships, two blanks each

Each problem has two blanks, They are ____ and x = ____, so the name comes before the arithmetic. The five kinds are dealt in turn, so the opening 8 hold each at least once: a complementary, supplementary and vertical angles worksheet with adjacent angles and angles around a point mixed in.

Grade 7 and grade 8 settings

Under On the sheet, Parallel lines adds two arrowed lines and a transversal; the key names corresponding, alternate or same-side interior angles. At Numbers the page is an angle geometry worksheet with no algebra. For a 7th grade angle relationships worksheet set Missing angles are to One expression: a linear pair becomes (2x + 36) + 104 = 180, and the key prints the 76° angle.

Have the class fill in every They are blank first. It breaks the habit of subtracting from 180 whatever the figure shows.
Only 8 fit one page; 12 or 16 take 2. Each figure scores 2 points, name and x, so the Score line reads / 16.
Every complementary and supplementary pair here shares a side. For an angle pairs worksheet with two separate angles, use the complementary and supplementary angles page.

Questions and answers

What is on an angle pair relationships worksheet?

Five kinds: vertical angles (equal), a linear pair (180°), complementary angles (90°), adjacent angles (the parts make the whole) and angles around a point (360°). The key gives one name each; also accept adjacent for a complementary or linear pair, which share a side.

Is there an angle relationships worksheet PDF?

There is no download button. Press Print or PDF and choose Save as PDF in the print window, and the sheet and key become one file, fitted to US Letter or A4. The same 6 character code prints at the foot of both.

Does it fit grade 7 or grade 8 geometry?

In part. Common Core 7.G.5 has students write and solve simple equations for an unknown angle in a multi-step problem; One expression sets the single-step kind only. 8.G.5 includes facts about angles created when parallel lines are cut by a transversal: light Parallel lines.

Is there an adjacent angles worksheet here?

Adjacent angles make 1 or 2 of the opening 8 figures. Each prints the whole and one part, as in 84 − 39 = 45. No setting prints them alone.