ABCDEF is a regular hexagon (I will sketch this in the session). Find the angle DAF

What do we know about hexagons? They have six angles and vertices. The fact that the hexagon is regular implies that all interior angles are the same. We can split the hexagon up into six triangles. These triangles are equilateral and hence each interior angle of each triangle is 60 degrees (180/3). Therefore x is clearly 60 degrees.

We can also do this knowing that each interior angle of the hexagon is therefore 120 degrees (Illustrated clearly with diagram). We have two regular trapezia formed by the line AD, so angles EDA and DAF are the same, and angles AFE and DEF are the same (which we have already established to be 120). A trapezium is a type of quadrilateral so the sum of interior angles is 360. So angle DAF = (360- 120-120)/2= 60 (which was our answer before). 

JM
Answered by Jordan M. Maths tutor

13817 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A shop sells bags of crisps in different size packs. There are 18 bags of crisps in a small pack (£4), 20 bags of crisps in a medium pack (£4.99) and 26 bags of crisps in a large pack (£6). Which size pack is the best value for money?


Sketching a quadratic


How do I know the best way to solve a quadratic equation?


Make x the subject of the following equation: 2x-4=2y.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences