Question

Two opposite angles of a cyclic quadrilateral are $4x^{\circ }$ and $5x^{\circ }$, then the value of $x^{\circ }$ is equal to

• A. $0^{\circ }$
• B. ${20}^{\circ }$
• C. ${30}^{\circ }$
• D. ${40}^{\circ }$

Answer 1

The correct option is B ${20}^{\circ }$

Consider given two opposite angles of a cyclic quadrilateral are $4x^0$ and $5x^0$.

Now, we know that sum of given two opposite angles of a cyclic quadrilateral are$={180}^0$.

Now ,

$4x^0+5x^0={180}^0$

$9x^0=180$

$x^0=20$

Hence, this is the answer.