Question

Two adjacent angles of a parallelogram are in the ratio 1 : 2. The angles are

• A. ${20}^{\circ }$ and ${40}^{\circ }$
• B. ${30}^{\circ }$ and ${60}^{\circ }$
• C. ${60}^{\circ }$ and ${120}^{\circ }$
• D. None of these

Answer 1

The correct option is C ${60}^{\circ }$ and ${120}^{\circ }$

The sum of 2 adjacent angles of a parallelogram is 180 degrees.
Let the angles are $x$ and $2x$.
$\therefore$$x$ $+$ $2x$ $=$${180}^o$
$\therefore$$3x=180$
$\therefore$$x={60}^o$
Hence angles are $x={60}^o$ and $2x={120}^o$.