Question

P,Q and R are points on an circle.A tangent to the circle,RT is also shown.What is the size of angle X?Give a reason for your answer

Answer 1

The angle between a tangent and a chord is equal to the angle in the alternate segment, that is

$x = ∠ PQR = 60°$

Answer 2

The value of x is equal to 40.

Given here: A tangent RT to the circumference of the circle at  a point R

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

We know a tangent always forms a 90-degree angle with the diameter of the circle.

Thus,

⇒ x+50=90

⇒ x=40

Hence, The value of x is equal to 40.

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