Question

The adjacent angels of a parallelogram are $x^{\circ }$ and $(2x+30{)}^{\circ }$. Find the value of $x$.

• A. ${40}^{\circ }$
• B. ${50}^{\circ }$
• C. ${45}^{\circ }$
• D. ${55}^{\circ }$

Answer 1

The correct option is B ${50}^{\circ }$

The adjacent angles of a parallelogram are $x^o$ and $(2x+30{)}^o$.

We know, the sum of adjacent angles of a parallelogram are supplementary.

$\therefore$ $x^o+2x^o+{30}^o={180}^o$

$\Rightarrow$ $3x^o={150}^o$

$\Rightarrow$ $x^o=\frac{{150}^o}{3}$

$\therefore$ $x^o={50}^o$

$\therefore$ The value of $x$ is ${50}^o$.