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Free Grade 3 Working with Vertically Opposite Angles Techniques Lesson Plans

Free Grade 3 lesson plans for Working with Vertically Opposite Angles Techniques: 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°.

Price

Free

Difficulty

Higher

Estimated time

20 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify working with vertically opposite angles techniques

    Identify working with vertically opposite angles techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with vertically opposite angles techniques

    Explain working with vertically opposite angles techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with vertically opposite angles techniques

    Calculate working with vertically opposite angles techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with vertically opposite angles techniques

    Compare working with vertically opposite angles techniques 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.

Working with Vertically Opposite Angles Essentials
Introducing Vertically Opposite Angles

How Working with Vertically Opposite Angles Techniques 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°.

Key wordsdegreeacuteobtusereflexinterior angle

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.Two angles on a straight line. One is 53°. Find the other.[1]
  2. 2.Two angles on a straight line. One is 144°. Find the other.[1]
  3. 3.Two angles on a straight line. One is 87°. Find the other.[1]
  4. 4.Two angles on a straight line. One is 69°. Find the other.[1]
  5. 5.A triangle has angles 76° and 53°. Find the third angle.[2]
  6. 6.A triangle has angles 38° and 37°. Find the third angle.[2]
  7. 7.A triangle has angles 38° and 75°. Find the third angle.[2]
  8. 8.A triangle has angles 23° and 63°. Find the third angle.[2]
  9. 9.Find the size of each interior angle of a regular 6-sided polygon.[3]
  10. 10.Find the size of each interior angle of a regular 7-sided polygon.[3]
  11. 11.Find the size of each interior angle of a regular 5-sided polygon.[3]
  12. 12.Find the size of each interior angle of a regular 8-sided polygon.[3]
Show answers and working

  1. 1. 127°

    Angles on a straight line add to 180°. 180 − 53 = 127°.

  2. 2. 36°

    Angles on a straight line add to 180°. 180 − 144 = 36°.

  3. 3. 93°

    Angles on a straight line add to 180°. 180 − 87 = 93°.

  4. 4. 111°

    Angles on a straight line add to 180°. 180 − 69 = 111°.

  5. 5. 51°

    Angles in a triangle add to 180°. 180 − 76 − 53 = 51°.

  6. 6. 105°

    Angles in a triangle add to 180°. 180 − 38 − 37 = 105°.

  7. 7. 67°

    Angles in a triangle add to 180°. 180 − 38 − 75 = 67°.

  8. 8. 94°

    Angles in a triangle add to 180°. 180 − 23 − 63 = 94°.

  9. 9. 120°

    Sum of interior angles = (6 − 2) × 180 = 720°. Each angle = 720 ÷ 6 = 120°.

  10. 10. 128.57°

    Sum of interior angles = (7 − 2) × 180 = 900°. Each angle = 900 ÷ 7 = 128.57°.

  11. 11. 108°

    Sum of interior angles = (5 − 2) × 180 = 540°. Each angle = 540 ÷ 5 = 108°.

  12. 12. 135°

    Sum of interior angles = (8 − 2) × 180 = 1080°. Each angle = 1080 ÷ 8 = 135°.

Worked examples

Easy example

Two angles on a straight line. One is 154°. Find the other.

  1. Angles on a straight line add to 180°.
  2. 180 − 154 = 26°.
  3. Answer: 26°
Medium example

A triangle has angles 22° and 45°. Find the third angle.

  1. Angles in a triangle add to 180°.
  2. 180 − 22 − 45 = 113°.
  3. Answer: 113°
Hard example

Find the size of each interior angle of a regular 10-sided polygon.

  1. Sum of interior angles = (10 − 2) × 180 = 1440°.
  2. Each angle = 1440 ÷ 10 = 144°.
  3. Answer: 144°

Interactive practice

Free, no account required — answer on screen or print it.

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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.

CAMBRIDGE CAM-684.1 — Mapped statement covering Working with Vertically Opposite Angles Techniques.NATIONAL-CURRICULUM NAT-532.2 — Mapped statement covering Working with Vertically Opposite Angles Techniques.

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Goes deeper

The entities below this one, each with the same complete free resource set.

Introduction to Working with Vertically Opposite Angles Techniques
Key Vocabulary of Working with Vertically Opposite Angles Techniques
Rules and Methods in Working with Vertically Opposite Angles Techniques
Working with Working with Vertically Opposite Angles Techniques
Working with Vertically Opposite Angles Techniques in Examinations

Sibling concepts

Working with Vertically Opposite Angles Essentials
Working with Vertically Opposite Angles Word Problems
Working with Vertically Opposite Angles Common Errors

Related concepts

Lateral links, including across subjects.

Working with Vertically Opposite Angles Essentials
Working with Vertically Opposite Angles Word Problems
Working with Vertically Opposite Angles Common Errors
Introducing Vertically Opposite Angles

Next topics

Working with Vertically Opposite Angles Word Problems
Working with Vertically Opposite Angles Common Errors
Introducing Vertically Opposite Angles
Vertically Opposite Angles in Context

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Frequently asked

Is this Grade 3 Working with Vertically Opposite Angles Techniques lesson plan really free?
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What should a learner already know before this?
Start with Working with Vertically Opposite Angles Essentials, Introducing Vertically Opposite Angles. Each one has its own free lesson, worksheet and quiz.
How is the lesson plan 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 Working with Vertically Opposite Angles Techniques?
Move on to Working with Vertically Opposite Angles Word Problems, Working with Vertically Opposite Angles Common Errors, Introducing Vertically Opposite Angles, Vertically Opposite Angles in Context, which build directly on this idea.

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