Question

Two opposite angles of a parallelogram are ${\left(3x-2\right)}^{\circ }$ and ${\left(50-x\right)}^{\circ }$. Find the value of $x$

• A. $61$
• B. $13$
• C. $64$
• D. $67$

Answer 1

Answer: (B)

Two opposite angles of a parallelogram are $(3x-2{)}^{\circ }$ and $(50-x{)}^{\circ }$

We know that, opposite angles of parallelogram are equal.

$\Rightarrow$ $3x-2=50-x$

$\Rightarrow$ $3x+x=50+2$

$\Rightarrow$ $4x=52$

$\Rightarrow$ $x=13$

$\therefore$ The value of $x$ is $13$.

Hence, Option B is correct.