Question

Help please and give the workings btw it’s to do with circle theroms

Answer 1

101°

Explanation:

solution

given here;

angle WYZ=79°

angle ZOW=x

angle OZY = angle OWY =90°(The radius of circle is perpendicular to the tangent at the point of contact.)

Now,

angle WYZ+ angle ZOW + angle OZY +angleOWY= 360°( Sum of angle of quadrilateral)

or, 79° + x + 90° + 90° = 360

or, x + 259° = 360°

:• x= 101°

The value of x is 101°.