Angles across parallel lines
Practise online with Next and Previous buttons, worked explanations and a report of the questions to review.
Log in to continueUse corresponding, alternate and co-interior relationships with reasons.
One-question preview
Choose one answer
Try this sample, or continue to the online quiz for a practice set with Next and Previous buttons.
The lines are parallel. Find angle E.
Read the diagram description
Two horizontal parallel lines crossed by a transversal. Angle A is 28°. Angle E is unknown. Positions A–D are at the top intersection anticlockwise from the top-right sector; E–H are at the bottom intersection anticlockwise from the top-right sector.
Show worked steps
Answer: 28 degrees
- Angles A and E occupy corresponding positions at the two intersections.
- Corresponding angles are equal for parallel lines, so E = 28°.
This is a question from this topic’s quiz. Preview answers are not saved.
Scratchpad
Working out
Draw with a finger, pen or mouse, or type your working below.
Your working stays on this page. It is not submitted or saved, and clears when you leave or reload.
Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use corresponding, alternate and co-interior relationships with reasons.
Read the official VCAA curriculum description (VC2M7M04)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M7M04-C01Identify angles in corresponding positions at the two intersections of a transversal with parallel lines.
- VC2M7M04-C02Use equal alternate interior angles between parallel lines, then connect an angle to its supplement.
- VC2M7M04-C03Use the 180° sum of co-interior angles to form and solve an equation for an unknown angle expression.
- VC2M7M04-C04Representing angle positions and communicating reasons that depend on parallelism.
Learn with worked examples
Help with this topic
Skills in this topic
Traceable coverage
Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Match corresponding anglesIdentify angles in corresponding positions at the two intersections of a transversal with parallel lines.
- D02Use alternate interior anglesUse equal alternate interior angles between parallel lines, then connect an angle to its supplement.
- D03Use co-interior angles to form an equationUse the 180° sum of co-interior angles to form and solve an equation for an unknown angle expression.