Question

Angles help find values

Answer 1

Angles around a point = 360°
Opposite angles are the same

8. y=116°
   x=64° 
   z=64°

9.B=131°
   x=49°

10.B=135°
     x=45°

Answer 2

Here's the rule.  I'm SURE you learned it in Middle School.  Or,
I guess I should say:  I'm SURE it was taught in Middle School.

                 Vertical angles are equal.

"Vertical angles" are the pair of angles that don't share a side,
formed by two intersecting lines.

AND ... even if you forgot it since hearing it in Middle School,
it was clearly explained in the answer to the question that
you posted 9 minutes before this one.


In #8, 'x' and 'z' are vertical angles.
         'y' and 116° are vertical angles.

In #9, 'B' and 131° are vertical angles.

In #10, 'B' and 135° are vertical angles.

For all of these, it'll also help you to remember that all the angles
on one side of any straight line add up to 180°.