In the given figure, the value of x is?

A circle can be defined as a closed, two-dimensional curved shape with no corners or edges.

A triangle is a three-sided polygon with three edges, angles, and vertices.

Answer: The value of x in the given figure is 125º

We will be using the properties of a circle and the angle sum property of a triangle to calculate the value of x

Explanation:

We know that,

∠BCD = ∠BAD (Since the angles subtended by the same arc on any point of the circumference are equal)

Thus, ∠BCD = ∠BAD = 30º

Consider ΔBCP

Using the interior angle sum property of a triangle,

∠BCP + ∠BPC + ∠PBC = 180º

30º + 25º + x = 180º

x = 180º - (30º + 25º)

x = 125º

Thus, the value of x in the given figure is 125º.