The chord NP is drawn in a circle centered on O. Find the PON angle if the ONP angle = 62 degrees?

We connect the edges of the chord with the center, we get an isosceles triangle, since the distance from the edges of the circle to the center is the same.

Then, in a triangle, we know one of the angles at the base, and since the triangle is isosceles, we know both angles at the base.

Then, by the property of the sum of angles in a triangle, we can write: x = 180 – 62 * 2 = 56.

Answer: the requested angle is 54 °.