Question

the brackets for a shelf are in the shape of a triangle. find the angle of the triangle if the measure of the angle are in the ratio x:2x:3xx=2x=3x=

Answer 1

The sum of angles in a triangle is 180degrees.

Therefore,

$\begin{gathered} x+2x+3x=180^0 \\ \text{this implies that} \\ 6x=180^0 \\ \text{Dividing through by 6, we have} \\ \frac{6x}{6}=\frac{180^0}{6} \\ \text{ Therefore,} \\ x=30^0 \end{gathered}$

Hence,

$2x=2\times30^0=60^0$

and

$3x=3\times30^0=90^0$