Question

In the figure above, point $A$ and $B$ lie on the circle with center $O$. If $x=80$, what is the value of $z$?

• A. ${80}^o$
• B. ${60}^o$
• C. ${50}^o$
• D. ${40}^o$
• E. ${10}^o$

Answer 1

The correct option is A ${80}^o$

Given, $x={80}^o$.

In given circle , $O$ is center and points $A$ and $B$ lies on circle.

So, $AO$ and $BO$ are equal as they are the radius.

Since $AO$ and $BO$ are equal, the angles opposite to that sides are equal.

Therefore $z=x=80$.

Therefore the correct option is $A$.