Answer:
64º
Step-by-step explanation:
We know the tangent and radii of the circle are at right angle of each other.
Also arc angle measure is equal the central angle made by the arc.
New picture drawn to show angles.
We also know that sum of interior angle of quardilateral is equal to 360º
Now, finding the value of x
⇒[tex]116+90+90+x= 360\º[/tex]
⇒[tex]296+x= 360\º[/tex]
subtracting both side by 296
⇒ x= [tex]360-296[/tex]
∴x= [tex]64\º[/tex]
Hence, the value of x is 64º
