Question

if the angels of a triangles are in the 7:8:9 then find the angles of a triangle

Answer 1

Let the angles be 7x , 8x & 9x ( x is added to remove proportionality)

Sum of all angles in a triangle = 180°

7x + 8x + 9x = 180°

24x = 180°

x = 180/24

x = 7.5°

Angles are :

⏩ 7x = 7 × 7.5 = 52.5°

⏩ 8x = 8 × 7.5 = 60°

⏩ 9x = 9 × 7.5 = 67.5°

Answer 2

let the angles be 7x,8x,and 9x

7x+8x+9x=180

24x=180

x=180/24=7.5      since x=7.5

7x=7x7.5=52.5

8x=8x7.5=60

9x=9x7.5=67.5

therefore the degrees of a triangle are 52.5, 60 and 67.5

where 52.5+60+67.5=180