Question

The interior angles of a hexagon are in the ratio 3:4:5:6:5:4 . Find all the angles.​

Answer 1

Step-by-step explanation:

GIVEN :

Ratio of interior angle of hexagon =>

= 3:4:5:6:5:4

TO FIND :

measure of angle of hexagon.

EXPLANATION :

Let the angles are = 3x, 4x,5x,6x,5x,4x

sum of angles of hexagon = 720° ....( properties)

hence,

3x, 4x,5x,6x,5x,4x. = 720°

27x = 720°

x = 720/27

x = 26.67°

Therefore,

value of x = 26.6°,

Now, put the value of x in all angles of hexagon =>

• 3x = 3×26.67 = 80.01°
• 4x = 4× 26.67 = 106.68°
• 5x. = 5× 26.67 = 133.35°
• 6x = 6 ×26.67 = 160.02°
• 5x = 5 × 26.67 = 133.35°
• 4x = 4 × 26.67 = 106.68°

Hence,

The angles of hexagon are :

==> 80.01°, 106.68°, 133.35°, 160.02°, 133.35°, 106.68°