Question

in a hexagon ABCDEF which is regular hexagon what is the sum of its exterior angle? what is each exterior angle? draw the hexagon with its exterior.​

Answer 1

Answer:

UNDERSTANDING QUADRILATERALS

Ayush G. asked • 07/30/16

ABCDEF is a regular hexagon . Find each angle of triangle ABE

Hello sir , im in 8th standard , and im stuck at a question , thats about a triangle in a hexagon

Follow5

Add comment

More

4 Answers By Expert Tutors

By:

Best

Neal D. answered • 07/31/16

TUTOR 4.9 (1,417)

Education Made Understandable

SEE TUTORS LIKE THIS

Draw regular hexagon ABCDEF with triangle ABE inside it

All sides of hexagon are equal in length

Sum of angles of a polygon = (n - 2)180

n = number of sides

Sum of angles of a hexagon is 720°, since it is a regular

hexagon each interior angle has measure 120°

Quadrilateral ABEF contains half the angle measure of the

hexagon; its interior angle measure = 360°

angle AFE = 120° (angle of hexagon ABCDEF)

triangle AFE is isosceles; angle FAE = angle FEA = 30°

sum of angles of triangle = 180°

angle FAE + angle EAB = 120°; therefor angle EAB = 90°

angle ABE is one half of 120° = 60°

angle ABE + angle EAB + angle AEB = 180°

therfor angle AEB = 30°

Step-by-step explanation:

mark me at brainlist