Question

In the triangle below, suppose that m LQ=(x+5)°, mZR=(6x - 5)°, and m_S= (2x)º.Find the degree measure of each angle in the triangle.

Answer 1

Recall that the sum of all the angles in a triangle is = 180 degrees

Thus we have that

`\begin{gathered} 2x+6x-5+x+5=180^0 \\ 9x=180^0 \\ x\text{ = }(180^0)/(9) \\ x=20^0 \end{gathered}`

Hence,

`\begin{gathered} Q\text{ = x + 5 } \\ =\text{ 20 + 5} \\ =25^0 \\ S\text{ = 2x } \\ =2(20^0) \\ =40^0 \\ R\text{ = 6x - 5 } \\ =6(20^0)\text{ - 5} \\ =\text{ 120 - 5} \\ =115^0 \end{gathered}`