Five angles of a hexagon measure 116°each .What is the measure of the remaining angle
Answers
Answered by
10
Answer :
Given,
A hexagon ( Note : It's not regular as it is not mentioned in the question )
Five angles of this hexagon are 116° each.
To find,
The sixth angle of this hexagon.
Solution :
Sum of interior angles of a hexagon = (n-2)×180°
Sum.of interior angles of hexagon = ( 6 - 2 ) × 180° = 4 × 180° = 720°
Sum of other five angles = 116 × 5 = 580°
Measure of the sixth angle of this hexagon = 720° - 580° = 140°
Answered by
6
We know that,
Sum of interior angle of a polygon = (n-2)×180°
Where n is number is sides.
Hexagon has 6 sides and 6 interior angle as shown in figure,
Now,
Sum if its all 6 angles = (6-2)×180 = 720°
Sum of Five angles = 116°×5 = 580°
Hence,
6th angle = 720° - 580° = 140°
Attachments:
Similar questions