Question

the angles of triangle are in ratio 1 is to 4 is to 7 find the angles​

Answer 1

Answer:

Step-by-step explanation:

1:4:7 =1x  +4x+7x

sum of all angles in a triangle is 180

so

1x+4x+7x=180

12x=180

x=180/12

x=15

therefore

1x=15

4x=4*15=60

7x=7*15=105

Answer 2

Answer:

∠A = 15°,∠B = 60° and  ∠C = 105°

Step-by-step explanation:

Let A,B,and  C are angles of a triangle.

Also given that A:B:C = 1:4:7

sum of angles of a triangle  = 180°

∴x+4x+7x =180°

12x = 180

⇒x = 180/12 =15°

∴∠A = 15°,∠B = 60° and  ∠C = 105°