Question

Q5. The angles of a triangle are in the ratio 5:3: 7. Find the angles?​

Answer 1

Step-by-step explanation:

5x+3x+7x=180°

15x=180°

x=180/15

x=12

5x=5×12=60°

3x=3×12=36°

7x=7×12=84°

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Answer 2

$\texttt{let \; the \; angles \; be \; 5x, \; 3x \& 7x.}$

$\large\texttt{A/q}$

$\mathtt{5x+3x+7x = 180° \;\;\;}\texttt{[}\angle \texttt{ sum \; prop.\; of \; ∆]}$

$\implies \mathtt{15x = 180°}$

$\implies \mathtt{x = \Large\frac{180°}{15}}$

$\implies \mathtt{x = 12°}$

$\texttt{Hence,}$

$\texttt{1st \; angle } \; \mathtt{= 5×12° = 60°}$

$\texttt{2nd \; angle } \; \mathtt{= 3×12° = 36°}$

$\texttt{3rd \; angle } \; \mathtt{= 7×12° = 84°}$