TS ICET 23 May 2018 Shift 1 Paper

In triangle PQR
Angle P + Angle Q + Angle R = 180°
$\mathit{x}+3\mathit{x}+\mathit{y}=180$
$4\mathit{x}+\mathit{y}=180$ →(1)
Given, $3\mathit{y}-5\mathit{x}=30$ → (2)
From (1) and (2) we get
$\mathit{x}=30$ and $\mathit{y}=60$
The three angles P, Q and R of the triangle are respectively 30° , 90° and 60°
Hence the triangle is a right-angled triangle.