Free Grade 3 Angles of Elevation in Context Lessons
Free Grade 3 lessons for Angles of Elevation 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
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify angles of elevation in context
Identify angles of elevation in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain angles of elevation in context
Explain angles of elevation in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate angles of elevation in context
Calculate angles of elevation in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare angles of elevation in context
Compare angles of elevation 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 Angles of Elevation 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 97°. Find the other.[1]
- 2.Two angles on a straight line. One is 63°. Find the other.[1]
- 3.Two angles on a straight line. One is 92°. Find the other.[1]
- 4.Two angles on a straight line. One is 145°. Find the other.[1]
- 5.A triangle has angles 20° and 64°. Find the third angle.[2]
- 6.A triangle has angles 63° and 39°. Find the third angle.[2]
- 7.A triangle has angles 46° and 32°. Find the third angle.[2]
- 8.A triangle has angles 85° and 51°. Find the third angle.[2]
- 9.Find the size of each interior angle of a regular 5-sided polygon.[3]
- 10.Find the size of each interior angle of a regular 10-sided polygon.[3]
- 11.Find the size of each interior angle of a regular 8-sided polygon.[3]
- 12.Find the size of each interior angle of a regular 9-sided polygon.[3]
Show answers and working
1. 83°
Angles on a straight line add to 180°. 180 − 97 = 83°.
2. 117°
Angles on a straight line add to 180°. 180 − 63 = 117°.
3. 88°
Angles on a straight line add to 180°. 180 − 92 = 88°.
4. 35°
Angles on a straight line add to 180°. 180 − 145 = 35°.
5. 96°
Angles in a triangle add to 180°. 180 − 20 − 64 = 96°.
6. 78°
Angles in a triangle add to 180°. 180 − 63 − 39 = 78°.
7. 102°
Angles in a triangle add to 180°. 180 − 46 − 32 = 102°.
8. 44°
Angles in a triangle add to 180°. 180 − 85 − 51 = 44°.
9. 108°
Sum of interior angles = (5 − 2) × 180 = 540°. Each angle = 540 ÷ 5 = 108°.
10. 144°
Sum of interior angles = (10 − 2) × 180 = 1440°. Each angle = 1440 ÷ 10 = 144°.
11. 135°
Sum of interior angles = (8 − 2) × 180 = 1080°. Each angle = 1080 ÷ 8 = 135°.
12. 140°
Sum of interior angles = (9 − 2) × 180 = 1260°. Each angle = 1260 ÷ 9 = 140°.
Worked examples
Two angles on a straight line. One is 116°. Find the other.
- Angles on a straight line add to 180°.
- 180 − 116 = 64°.
- Answer: 64°
A triangle has angles 30° and 41°. Find the third angle.
- Angles in a triangle add to 180°.
- 180 − 30 − 41 = 109°.
- Answer: 109°
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 Angles of Elevation in Context lesson really free?
- Yes. Every lessons 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 Angles of Elevation, Introducing Angles of Elevation, Pythagoras' Theorem. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 of Elevation in Context?
- Move on to Sine Ratio, Cosine Ratio, Tangent Ratio, Pythagoras' Theorem, which build directly on this idea.
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