Free Grade 3 Angles in Parallel Lines Quizzes
Free Grade 3 quizzes for Angles in Parallel Lines: 12 real questions with a full answer key and worked solutions. Angles on a straight line add to 180°, around a point to 360°, and inside a triangle to 180°. A polygon with n sides has interior angles adding to (n − 2) × 180°.
Free
Stretch
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify angles in parallel lines
Identify angles in parallel lines accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain angles in parallel lines
Explain angles in parallel lines accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate angles in parallel lines
Calculate angles in parallel lines accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare angles in parallel lines
Compare angles in parallel lines accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Angles in Parallel Lines works
Angles on a straight line add to 180°, around a point to 360°, and inside a triangle to 180°. A polygon with n sides has interior angles adding to (n − 2) × 180°.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Two angles on a straight line. One is 152°. Find the other.[1]
- 2.Two angles on a straight line. One is 37°. Find the other.[1]
- 3.Two angles on a straight line. One is 27°. Find the other.[1]
- 4.Two angles on a straight line. One is 41°. Find the other.[1]
- 5.A triangle has angles 23° and 130°. Find the third angle.[2]
- 6.A triangle has angles 27° and 89°. Find the third angle.[2]
- 7.A triangle has angles 53° and 94°. Find the third angle.[2]
- 8.A triangle has angles 64° and 79°. Find the third angle.[2]
- 9.Find the size of each interior angle of a regular 7-sided polygon.[3]
- 10.Find the size of each interior angle of a regular 5-sided polygon.[3]
- 11.Find the size of each interior angle of a regular 6-sided polygon.[3]
- 12.Find the size of each interior angle of a regular 10-sided polygon.[3]
Show answers and working
1. 28°
Angles on a straight line add to 180°. 180 − 152 = 28°.
2. 143°
Angles on a straight line add to 180°. 180 − 37 = 143°.
3. 153°
Angles on a straight line add to 180°. 180 − 27 = 153°.
4. 139°
Angles on a straight line add to 180°. 180 − 41 = 139°.
5. 27°
Angles in a triangle add to 180°. 180 − 23 − 130 = 27°.
6. 64°
Angles in a triangle add to 180°. 180 − 27 − 89 = 64°.
7. 33°
Angles in a triangle add to 180°. 180 − 53 − 94 = 33°.
8. 37°
Angles in a triangle add to 180°. 180 − 64 − 79 = 37°.
9. 128.57°
Sum of interior angles = (7 − 2) × 180 = 900°. Each angle = 900 ÷ 7 = 128.57°.
10. 108°
Sum of interior angles = (5 − 2) × 180 = 540°. Each angle = 540 ÷ 5 = 108°.
11. 120°
Sum of interior angles = (6 − 2) × 180 = 720°. Each angle = 720 ÷ 6 = 120°.
12. 144°
Sum of interior angles = (10 − 2) × 180 = 1440°. Each angle = 1440 ÷ 10 = 144°.
Worked examples
Two angles on a straight line. One is 121°. Find the other.
- Angles on a straight line add to 180°.
- 180 − 121 = 59°.
- Answer: 59°
A triangle has angles 37° and 37°. Find the third angle.
- Angles in a triangle add to 180°.
- 180 − 37 − 37 = 106°.
- Answer: 106°
Find the size of each interior angle of a regular 9-sided polygon.
- Sum of interior angles = (9 − 2) × 180 = 1260°.
- Each angle = 1260 ÷ 9 = 140°.
- Answer: 140°
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Reads the wrong scale on a protractor.
Correction: Start from the 0 on the arm you are measuring from.
Uses 360° for a triangle.
Correction: Triangle = 180°, quadrilateral = 360°.
Teacher tips
- · Estimate the angle type before measuring.
Parent tips
- · Spot right angles around the house.
Real-life applications
- · Ramps, clock hands, building and design.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Angles in Parallel Lines quiz really free?
- Yes. Every quizzes on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Vertically Opposite Angles, Angles Around a Point, Algebra. Each one has its own free lesson, worksheet and quiz.
- How is the quiz sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Angles in Parallel Lines?
- Move on to Angles in Polygons, 2D Shapes, Perimeter and Area, 3D Shapes, which build directly on this idea.
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