Question

If the angles of a triangle are in the ratio $5:6:7$ . Find the measure of each angle .

Answer 1

According to the question, angles are in the ratio $5:6:7$,

Let us assume that, the exact value of the angles are $5x,6xand7x$ (where x be the variable), Then

$$\begin{gathered} \Rightarrow 5x+6x+7x=180° \\ \Rightarrow 18x=180° \\ \Rightarrow x=\frac{180°}{18} \\ \Rightarrow x=10° \end{gathered}$$

Therefore the measure of each angle of the triangle will be :

$$\begin{gathered} 5x=5\times 10°=50° \\ 6x=6\times 10°=60° \\ 7x=7\times 10°=70° \end{gathered}$$