Question

If the angles of a triangle are in the ratio 1:4:5, find the angles ​

Answer 1

ANSWER : 18° , 72° & 90°

Step-by-step explanation:

Given Ratios : 1 : 4 : 5

let the ratio of the angles be x

ie, x : 4x : 5x

Now - x + 4x + 5x = 180

10x = 180

x = 18

Therefore the angels are :

• 18°
• 4x = 4*18 = 72°
• 5x = 5*18 = 90°

I hope I could help you

Thank you

@BrutalGuy

Answer 2

$\huge \fbox{Answer}$

$\large \underline{\underline {\frak{ \color{red}Given::}}}$

${ \mapsto \sf{Angles \: of \: triangle(in \: ratio)=1:4:5}}$

$\large \underline{\underline {\frak{ \color{blue}To \: find::}}}$

$\leadsto \sf{Find \: the \: angles \: of \: triangle.}$

$\large \underline{\underline {\frak{ \color{indigo}Concept \: required::}}}$

${\rightarrow \sf{Sum \: of \: angles \: of \: triangle \: is \: 180°.}}$

$\bf{Then,}$

$\longrightarrow \sf{1x+4x+5x=180°}$

$\large \underline{\underline {\frak{ \color{c}According \: to \: Question::}}}$

$\implies \sf{1x+4x+5x=180°}$

$\implies \sf{10x=180°}$

$\implies \sf{x°= \frac{180}{10}}$

$\implies \sf{1x°=18} \times1= 18°$

$\implies \sf{4x°=18} \times4= 72°$

$\implies \sf{5x°=18} \times5= 90°$

$\bf{Hence,}$

$\pink \star {\fbox{Angles of triangle is 18°,72° and 90°.}} \pink \star$