Question

The interior angles of a pentagon are in the ratio 4,5,6,7,5 find each angle

Answer 1

Answer:

Step-by-step explanation:

Given:-

Angle 1 = 4x

Angle 2 = 5x

Angle 3= 6x

Angle 4= 7x

Angle 5 = 5x

Sol. :

Angle1+angle2+angle3+angle4+angle5= 360° (sum of interior angles of Pentagon)

4x+5x+6x+7x+5x=360°

27x= 360°

x= 360/27

×= 13.333

So,

Angle1=4x=4(13.333)=53.333

Angle2=5x=5(13.333)=66.666

Angle3=6x=6(13.333)=80

Angle4=7x=7(13.333)=93.333

Angle5=5x=5(13.333)=66.666

Hope it will help you