CTET 2 Math and Science 21 Jan 2024 Paper

Supplementary angles are those angles that sum up to 180 degrees
Calculations:
Let the angles are $\angle \mathit{A}$ and $\angle \mathit{B}$
$\angle \mathit{A}-\angle \mathit{B}={20}^{\circ }$
$\angle \mathit{A}+\angle \mathit{B}={180}^{\circ }$
Adding both equation we get $2\angle \mathit{A}={200}^{\circ }$
$\angle \mathit{A}={100}^{\circ }$
$\therefore \angle \mathit{B}={80}^{\circ }$
Now, According to the Question statement p is the smallest angle
$\therefore \angle \mathit{B}={80}^{\circ }$
$\therefore 3\mathit{p}-{50}^{\circ }=3\times {80}^{\circ }-{50}^{\circ }={240}^{\circ }-{50}^{\circ }={190}^{\circ }$