Question

If the angle of a triangle are in the ratio 1:4:5 find the angels

Answer 1

$\large\sf\underline{Given}$

$\sf\:Ratio\:of\:angles\:in\:a\: triangle=1:4:5$

$\large\sf\underline{Solution}$

$\sf\:Let\:the\:angles\:be:$

• $\sf\:x$

• $\sf\:4x$

• $\sf\:5x$

We know that ,

$\large\fbox\red{Sum\:of\:angles\:in\:a\: triangle=180°}$

Using this ,

$\tt\pink{x+4x+5x=180°}$

$\sf⇨\:10x=180°$

$\sf⇨\:x=\frac{180°}{10}$

$\tt\purple{⇨x=18°}$

Now putting the value of x in three angles

$\large\fbox\blue{⇢\:x=18°}-----[1ˢᵗ\:angle]$

$\sf\:4 \times x$

$\sf\:4 \times 18°$

$\large\fbox\blue{⇢\:72°}-----[2ⁿᵈ angle]$

$\sf\:5x$

$\sf\:5 \times 18°$

$\large\fbox\blue{⇢\:90°}-----[3ʳᵈ\:angle]$

• Thnku :)