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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM5-5
New NZC (2026)
NZC26-P4-GEO-SHP-P-Y9-02NZC26-P3-GEO-SPR-P-Y7-05
Resources
- Alpha textbook: Angles on a straight line, Ex 25.07, pg 401-402
- CorbettMaths on basic angle rulesQuestions PDF · Answers
- Beta: Exercise 18.04, pgs 345 & 346
- Beta: Exercise 18.05, pgs 347 & 348
Terminology
- straight line
- angles on a straight line
Task goals
- Find a missing angle on a straight line from a diagram, using the fact that two adjacent angles on a straight line sum to $180^\circ$.
- Find a missing angle given as a word description, such as one angle being a multiple of or a fixed amount bigger than the other.
- Solve for an unknown $x$ when the two adjacent angles on a straight line are given as algebraic expressions, including from a diagram.
- Solve angles-on-a-straight-line problems where the two angles are given as a ratio.
- Find a missing angle when three or four angles together lie along a straight line.
- Explain whether a given pair or set of angles could lie on a straight line, and identify the error when a student's claimed pair does not sum to $180^\circ$.
- Write and solve their own pair of adjacent angles on a straight line where one angle is algebraic and the other numeric.
Where this fits
What leads into this objective, and where it goes next.
Before
Nets
You are here
Angles on a straight line
Do
Solving for an unknown angle in a diagram by setting up and solving a multi-step equation based on supplementary, complementary, vertical, and adjacent angle relationships
Statement▸
Year 7 · Geometry · Spatial reasoning
NZC26-P3-GEO-SPR-P-Y7-05
Also under GM5-5:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.