If two adjacent angles of a parallelogram are \((2x+30)^\circ\) and \((3x-15)^\circ\). Then the value of \(x\) is :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 33
Opposite sides of a parallelogram are parallel, so two adjacent angles are co-interior angles between parallel lines: adjacent angles of a parallelogram add up to \(180^\circ\).
\((2x+30)+(3x-15)=180\)
\(5x+15=180\)
\(5x=165\)
\(x=33\)