Question

Solve for x using the circle below. Enter the value of x rounded to the nearest wholenumber.

Answer 1

Given,

The diagram of the circle and the central angles is hown in the question.

Required

The value of x.

Here, the angle formed by the chord (2x+1) is on the circle measure 25 degree. The angle formed by the chord x+3 on the center of the circle measure 50 degree.

The angle formed on the center of the circle is equal to the double of angle formed on the circle, then the measure of the chord is equal.

Therefore,

$\begin{gathered} 2x+1=x+3 \\ 2x-x=-1+3 \\ x=2 \end{gathered}$

Hence, the value of x is 2.