The two angles given are 2x+15 and 3x−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∘. Calculation: Set up the equation for the angles ⇒2x+15+3x−20=180...( angles are supplementary ) ⇒5x−5=180 ⇒x=37 Now substituting the value of x in 4x+6 ⇒4(37)+6=154 ∴ The Correct answer is Option (3): 154