Question

The measure of angles of a triangle is in the ratio 2 : 3 : 5. What is the measure of the smallest angle? ​

Answer 1

Answer:

Step-by-step explanation:

Given: ABC = 2:3:5

Find: All the angles

Solution:

Let A= 2x , B=3x , C= 5x

Now we know that the sum of all the angle of a triangle is 180°

Therefore

2x+3x+5x = 180°

10x = 180°

Therefore

X = 180°/10

X = 18°

Since

A= 2x

Therefore 2×18° =36°

B = 3x

Therefore 3×18° = 54°

C = 5x

Therefore 5×18°= 90°

Answer 2

if 2x+3x+4x=180'

then,

9x=180'

1x=180/90=20'

then 1st angle =2x=2×20=40'

2nd angle =3x=20×3=60'

3rd angle =4x=4×20=80'

hence smallest angle =1st of 40'