Question

in all the three angles of the triangle are in ratio 2 X ratio 3 ratio 4 then find the value of each angle

Answer 1

Hey mate here is your answer ⤵⤵⤵

$\sf Let\:the\:angles\:be\:2x\:3x\:and\:4x \\ \\ \sf Then ,2x+3x+4x=180° \\ \\ \sf \implies 9x=180° \\ \\ \sf \implies x=20° \\ \\ \sf Hence,the\:angles\:are \\ \sf 2x=2×20=40° \\ \sf 3x=3×20=60° \\ \sf 4x=4×20°=80$

❤hope it helps you ❤

Answer 2

$\sf\underline{Step-by-step \: explanation}$

Let the angles be 2x , 3x and 4x

A rule,

All the angles of a triangle when added together result in 180° . i.e. ,

$\angle{A}$ + $\angle{B}$ + $\angle{C}$ = 180°

According to the question,

2x + 3x + 4x = 180°

9x = 180°

x = 20°

So, angle a which is 2x will be,

2x = 2 × 20 = 40°

Angle B,

3x = 3 × 20 = 60°

Angle C ,

4x = 4 × 20 = 80°

Other Rules :

° The sum of opposite interior angles results in the angle of an exterior angle.

° Hp ^ 2 = B ^ 2 + P ^ 2

° Alternate angles and vertically opposite angles are equal

° Perimeter of triangle = side + side + side

° Area of a triangle = h × b / 2