Free Grade 3 Vertically Opposite Angles in Context Flashcards
Free Grade 3 flashcards for Vertically Opposite Angles in Context: 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
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain vertically opposite angles in context
Explain vertically opposite angles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate vertically opposite angles in context
Calculate vertically opposite angles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare vertically opposite angles in context
Compare vertically opposite angles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify vertically opposite angles in context
Justify vertically opposite angles in context 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 Vertically Opposite Angles in Context 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 116°. Find the other.[1]
- 2.Two angles on a straight line. One is 153°. Find the other.[1]
- 3.Two angles on a straight line. One is 79°. Find the other.[1]
- 4.Two angles on a straight line. One is 136°. Find the other.[1]
- 5.A triangle has angles 68° and 69°. Find the third angle.[2]
- 6.A triangle has angles 56° and 23°. Find the third angle.[2]
- 7.A triangle has angles 66° and 64°. Find the third angle.[2]
- 8.A triangle has angles 37° and 36°. 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 9-sided polygon.[3]
- 12.Find the size of each interior angle of a regular 10-sided polygon.[3]
Show answers and working
1. 64°
Angles on a straight line add to 180°. 180 − 116 = 64°.
2. 27°
Angles on a straight line add to 180°. 180 − 153 = 27°.
3. 101°
Angles on a straight line add to 180°. 180 − 79 = 101°.
4. 44°
Angles on a straight line add to 180°. 180 − 136 = 44°.
5. 43°
Angles in a triangle add to 180°. 180 − 68 − 69 = 43°.
6. 101°
Angles in a triangle add to 180°. 180 − 56 − 23 = 101°.
7. 50°
Angles in a triangle add to 180°. 180 − 66 − 64 = 50°.
8. 107°
Angles in a triangle add to 180°. 180 − 37 − 36 = 107°.
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. 140°
Sum of interior angles = (9 − 2) × 180 = 1260°. Each angle = 1260 ÷ 9 = 140°.
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 59°. Find the other.
- Angles on a straight line add to 180°.
- 180 − 59 = 121°.
- Answer: 121°
A triangle has angles 64° and 21°. Find the third angle.
- Angles in a triangle add to 180°.
- 180 − 64 − 21 = 95°.
- Answer: 95°
Find the size of each interior angle of a regular 6-sided polygon.
- Sum of interior angles = (6 − 2) × 180 = 720°.
- Each angle = 720 ÷ 6 = 120°.
- Answer: 120°
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 Vertically Opposite Angles in Context flashcards really free?
- Yes. Every flashcards 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 Working with Vertically Opposite Angles, Introducing Vertically Opposite Angles, Angles Around a Point. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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 Vertically Opposite Angles in Context?
- Move on to Angles on a Straight Line, Angles Around a Point, Angles in Parallel Lines, Angles in Polygons, which build directly on this idea.
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