Question

An angle of 140 degrees id divided in the ratio of 1:2:4 Calculate the size of the smallest angle.

Answer 1

Answer:

$\huge{\boxed{\rm{\red{answer=20°}}}}$

Step-by-step explanation:

Given:-

An angle of 140 degrees is divided in the ratio of 1:2:4

To find:-

Calculate the size of the smallest angle.

Solution:-

Given angle =140°

140° is divided into the ratio =1:2:4

Let they be 1x,2x,4x

Sum of the angles =x+2x+4x=7x

But their sum =140°

=>7x=140°

=>x=140°/7

=>x=20°

=>2x=2×20=40°

=>4x=4×20°=80°

Answer:-

The angles are 20°,40° and 80°

The smallest angle =20°

Answer 2

Answer:

so, let the smallest angle be x and the other two be 2x and 4x............

total angle given=140°(degree).........

we know,...................

(x+2x+4x)°=140°........

7x°=140°........

x°=140/7........

x°=20°.........

so,the smallest angle will be 20°.......