Question

if two complementary angles are in the ratio 13:5 then the angles are​

Answer 1

Answer:

let the ratios be 13x and 5x

atq

13x+5x =90

18x=90

x=5

so the two angles will be 25 and 65

please follow me

Answer 2

$\begin{gathered}:\implies\sf 13x + 5x = 90^{\circ}\\\\\\:\implies\sf 18x = 90^{\circ} \\\\\\:\implies\sf x = \cancel\dfrac{90}{18} \\\\\\:\implies\boxed{\frak{\purple{x = 5}}}\end{gathered}$

Here, we get value of x is 5.

$\sf \: { Now, \: finding \: other \: two \: angles:}$

$\begin{gathered}:\implies\sf 13x \\\\\\:\implies\sf 13 \times 5\\\\\\:\implies\boxed{\frak{\pink{65^{\circ}}}}\end{gathered}$

$\begin{gathered}\\\end{gathered}$

$\begin{gathered}:\implies\sf 5x \\\\\\:\implies\sf 5 \times 5\\\\\\:\implies\boxed{\frak{\pink{25^{\circ}}}}\end{gathered}$

$\sf \: { So, \: the \: Required \: Angle \: are\: 25°\: and\: 65°}$