Question

sum of three angles of a triangle is 180. if its angles are in the ratio 8:3:7 find each angle

Answer 1

$answer \\ \\ if \: the \: total \: of \: the \: ratio \: is \: = 8 + 3 + 7 \\ = 18 \\ \\ the \: first \: angle \: will \: be = 180 \times \frac{8}{18} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 10 \times 8 = 80 \\ the \: second \: angle \: will \: be = 180 \times \frac{3}{18} \\ \: \: \: \: \: \: \: \: \: = 10 \times 3 = 30 \\ the \: third \: angle \: will \: be = 180 \times \frac{7}{18} \\ \: \: \: \: \: \: \: \: = 10 \times 7 = 70$

the angles are 80 , 30 & 70

✨✨✨hope it helps✨✨✨✨

Answer 2

Answer:

let the ratio are in the form of x,

so,

ratio will be =8x , 3x and 7x

we know,

the sum of three angle of triangle is 180°

since

According to question.

$\implies 8x+3x+7x=180 \\ \implies 18x=180 \\ \implies x=\frac{180}{18} \\ \implies x=10$

now putting the value of x in ratios.

$\implies 8x=8×10 = 80° \\ \implies 3x=3×10=30° \\ \implies 7x=7×10 = 70°$