Question

Two adjacent angles of a parallelogram are $(2x+30{)}^{\circ }$ and $(3x+30{)}^{\circ }$. The value of $x$ is :

• A. ${30}^{\circ }$
• B. ${60}^{\circ }$
• C. ${24}^{\circ }$
• D. ${36}^{\circ }$

Answer 1

The correct option is C ${24}^{\circ }$

We know that the sum of the adjacent angles of parallelogram is equal to ${180}^o$

$\therefore 2x+{30}^o+3x+{30}^o=180°$

$\Rightarrow 5x={120}^o$

$\therefore x=\frac{{120}^o}{5}=24°$

Hence, the answer is ${24}^o.$