Question

12. The angles of a triangle are in the ratio of 1:1:4. Find the three angles.​

Answer 1

Answer:

let the angle be

/_a=x /_b=x /_c=4x

/_@+/_b+/_c=180°

x+x+4x=180°

6x=180°

x=180/6

x=30°

/_@=30° /_b=30°/_c=4×30°=120°

Answer 2

$\huge \bold \color{green}{ \underline { \underline \red{required \: answer : }}}$

$\bold{ \underline{ \underline{given : }}}$

angles of a ∆ are in the ratio of 1:1:4

$\bold{ \underline{ \underline{angles : }}}$

30°

30°

120°

$\bold{ \underline{ \underline{solution : }}}$

let angles of triangle are 1x , 1x and 4x

concept :- sum of angles of triangle are 180°

$\implies \: 1x + 1x + 4x = 180$

$\implies \: 6x = 180 \\ \implies \: x = \frac{180}{6} \\ \implies \: x = 30$

so angles of triangle are:-

• 1×30 = 30°
• 1×30 = 30°
• 4×30 = 120°