Answer:
a) x = 90°
b) The angle between the tangent and the radius at a point on a circle is 90°.
Explanation:
The radius of a circle is the distance from the center of the circle to any point on its circumference.
The tangent of a circle is a straight line that touches the circle at exactly one point, called the "point of tangency".
The given diagram shows circle O along with a tangent line. The radius of the circle intersects the tangent at the point of tangency.
The tangent of a circle is always perpendicular to its radius.
Therefore, the size of angle x is 90°.
Therefore, the circle theorem that allowed us to work out the size of angle x is:
- The angle between the tangent and the radius at a point on a circle is 90°.