CTET 2 Math and Science 07 Jul 2024 Paper

The two angles given are $2\mathit{x}+15$ and $3\mathit{x}-20$
Concept:
When two parallel lines are intersected by a transversal, several types of angles are formed.
One of the key properties of these angles is that the sum of the two interior angles on the same side of the transversal is always supplementary, meaning they add up to ${180}^{\circ }$.
Calculation:
Set up the equation for the angles

$\Rightarrow 5\mathit{x}-5=180$
$\Rightarrow \mathit{x}=37$
Now substituting the value of $\mathit{x}$ in $4\mathit{x}+6$
$\Rightarrow 4\left(37\right)+6=154$
$\therefore$ The Correct answer is Option (3): 154