Year 6 Exam  >  Year 6 Notes  >  Year 6 Mathematics  >  Calculating angles around a point

Calculating angles around a point | Year 6 Mathematics PDF Download

What is a full turn?

  • A full turn around a point is 360°. Angles around a point always sum to 360°.
  • Knowing one of the angles allows you to calculate the other angles around the point, often without needing a protractor.

Examples


Example 1: This diagram shows that there are two angles to be found.
What are angles C and D?

Calculating angles around a point | Year 6 MathematicsThe angles either side of the straight line must add up to 180°.
To f​ind angle C, you can subtract 112° from 180°.
180° ​- 112° = 68°
Calculating angles around a point | Year 6 MathematicsAngle C is 68°.
To find angle D, subtract 145° from 180°.
180° - ​145° = 35°
Calculating angles around a point | Year 6 MathematicsAngle D is 35°.
Example 2: What is the value of A?
Calculating angles around a point | Year 6 MathematicsThese two angles are around a point. They must add up to 360°.
13​5° + A = 360°
We can rearrange this to find angle A:
A = 360° - 135°
Therefore:
360° - 135° = 225°
Angle A is 225°.
Calculating angles around a point | Year 6 MathematicsHowever, sometimes you need to find more than one angle around a point.

The document Calculating angles around a point | Year 6 Mathematics is a part of the Year 6 Course Year 6 Mathematics.
All you need of Year 6 at this link: Year 6
54 videos|54 docs|17 tests

Top Courses for Year 6

54 videos|54 docs|17 tests
Download as PDF
Explore Courses for Year 6 exam

Top Courses for Year 6

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Important questions

,

Calculating angles around a point | Year 6 Mathematics

,

Calculating angles around a point | Year 6 Mathematics

,

Sample Paper

,

practice quizzes

,

study material

,

Viva Questions

,

MCQs

,

Summary

,

Exam

,

video lectures

,

ppt

,

pdf

,

Objective type Questions

,

mock tests for examination

,

past year papers

,

Free

,

shortcuts and tricks

,

Calculating angles around a point | Year 6 Mathematics

,

Previous Year Questions with Solutions

,

Extra Questions

,

Semester Notes

;